-
1
-
-
0000968678
-
A sharp inequality of J. Moser for higher order derivatives
-
Adams D. R.: A sharp inequality of J. Moser for higher order derivatives. Ann. Math. 128, 385-398 (1988).
-
(1988)
Ann. Math.
, vol.128
, pp. 385-398
-
-
Adams, D.R.1
-
2
-
-
0002153306
-
Choquet integrals in potential theory
-
Adams D. R.: Choquet integrals in potential theory. Publ. Mat. 42, 3-66 (1998).
-
(1998)
Publ. Mat.
, vol.42
, pp. 3-66
-
-
Adams, D.R.1
-
3
-
-
0033416837
-
Continuous rotation invariant valuations on convex sets
-
Alesker S.: Continuous rotation invariant valuations on convex sets. Ann. Math. 149(2), 977-1005 (1999).
-
(1999)
Ann. Math.
, vol.149
, Issue.2
, pp. 977-1005
-
-
Alesker, S.1
-
4
-
-
0041794769
-
Sulla diseguaglianza di Sobolev in spazi di Lorentz
-
Alvino A.: Sulla diseguaglianza di Sobolev in spazi di Lorentz. Boll. Un. Mat. Ital. A 14(5), 148-156 (1977).
-
(1977)
Boll. Un. Mat. Ital. A
, vol.14
, Issue.5
, pp. 148-156
-
-
Alvino, A.1
-
5
-
-
84972498579
-
Problèmes isopérimétriques et espaces de Sobolev
-
Aubin T.: Problèmes isopérimétriques et espaces de Sobolev. J. Differ. Geom. 11, 573-598 (1976).
-
(1976)
J. Differ. Geom.
, vol.11
, pp. 573-598
-
-
Aubin, T.1
-
7
-
-
42449113745
-
From Brunn-Minkowski to sharp Sobolev inequalities
-
Bobkov S., Ledoux M.: From Brunn-Minkowski to sharp Sobolev inequalities. Ann. Mat. Pura Appl. 187, 369-384 (2008).
-
(2008)
Ann. Mat. Pura Appl.
, vol.187
, pp. 369-384
-
-
Bobkov, S.1
Ledoux, M.2
-
8
-
-
38249041019
-
Maximal volume enclosed by plates and proof of the chessboard conjecture
-
Böröczky K., Bárány I., Makai I. Jr, Pach J.: Maximal volume enclosed by plates and proof of the chessboard conjecture. Discrete Math. 60, 101-120 (1986).
-
(1986)
Discrete Math.
, vol.60
, pp. 101-120
-
-
Böröczky, K.1
Bárány, I.2
Makai Jr., I.3
Pach, J.4
-
9
-
-
0041150974
-
The isoperimetric theorem for general integrands
-
Brothers J., Morgan F.: The isoperimetric theorem for general integrands. Michigan Math. J. 41, 419-431 (1994).
-
(1994)
Michigan Math. J.
, vol.41
, pp. 419-431
-
-
Brothers, J.1
Morgan, F.2
-
10
-
-
0037091874
-
p-Busemann-Petty centroid inequality
-
p-Busemann-Petty centroid inequality. Adv. Math. 167, 128-141 (2002).
-
(2002)
Adv. Math.
, vol.167
, pp. 128-141
-
-
Campi, S.1
Gronchi, P.2
-
12
-
-
0346240916
-
Isoperimetric inequalities
-
Cambridge University Press, Cambridge
-
Chavel, I.: Isoperimetric inequalities. In: Cambridge Tracts in Mathematics, vol. 145. Cambridge University Press, Cambridge (2001).
-
(2001)
Cambridge Tracts in Mathematics
, vol.145
-
-
Chavel, I.1
-
13
-
-
33144478837
-
p Minkowski problem with not necessarily positive data
-
p Minkowski problem with not necessarily positive data. Adv. Math. 201, 77-89 (2006).
-
(2006)
Adv. Math.
, vol.201
, pp. 77-89
-
-
Chen, W.1
-
14
-
-
70350389542
-
Affine Moser-Trudinger and Morrey-Sobolev inequalities
-
Cianchi A., Lutwak E., Yang D., Zhang G.: Affine Moser-Trudinger and Morrey-Sobolev inequalities. Calc. Var. Partial Differ. Equ. 36, 419-436 (2009).
-
(2009)
Calc. Var. Partial Differ. Equ.
, vol.36
, pp. 419-436
-
-
Cianchi, A.1
Lutwak, E.2
Yang, D.3
Zhang, G.4
-
15
-
-
33746888293
-
p-Minkowski problem and the Minkowski problem in centroaffine geometry
-
p-Minkowski problem and the Minkowski problem in centroaffine geometry. Adv. Math. 205, 33-83 (2006).
-
(2006)
Adv. Math.
, vol.205
, pp. 33-83
-
-
Chou, K.1
Wang, X.-J.2
-
16
-
-
0344982945
-
The Brunn-Minkowski inequality for p-capacity of convex bodies
-
Colesanti A., Salani P.: The Brunn-Minkowski inequality for p-capacity of convex bodies. Math. Ann. 327, 459-479 (2003).
-
(2003)
Math. Ann.
, vol.327
, pp. 459-479
-
-
Colesanti, A.1
Salani, P.2
-
17
-
-
1242299735
-
A mass-transportation approach to sharp Sobolev and Gagliardo-Nirenberg inequalities
-
Cordero-Erausquin D., Nazaret D., Villani C.: A mass-transportation approach to sharp Sobolev and Gagliardo-Nirenberg inequalities. Adv. Math. 182, 307-332 (2004).
-
(2004)
Adv. Math.
, vol.182
, pp. 307-332
-
-
Cordero-Erausquin, D.1
Nazaret, D.2
Villani, C.3
-
18
-
-
1842816562
-
Sobolev type embeddings in the limiting case
-
Cwickel M., Pustylnik E.: Sobolev type embeddings in the limiting case. J. Fourier Anal. Appl. 4, 433-446 (1998).
-
(1998)
J. Fourier Anal. Appl.
, vol.4
, pp. 433-446
-
-
Cwickel, M.1
Pustylnik, E.2
-
19
-
-
77953978450
-
Inequalities of Hardy-Sobolev type in Carnot-Caratheodory spaces
-
In: Maz′ya, V. (ed.), International Mathematical Series
-
Danielli, D., Garofalo, N., Phuc, N. C.: 2009 Inequalities of Hardy-Sobolev type in Carnot-Caratheodory spaces. In: Maz′ya, V. (ed.) Sobolev Spaces in Mathematics I. Sobolev Type Inequalities. International Mathematical Series, vol. 8, pp. 117-151 (2009).
-
(2009)
Sobolev Spaces in Mathematics I. Sobolev Type Inequalities
, vol.8
, pp. 117-151
-
-
Danielli, D.1
Garofalo, N.2
Phuc, N.C.3
-
20
-
-
0036710614
-
Best constants for Gagliardo-Nirenberg inequalities and applications to nonlinear diffusions
-
Del Pino M., Dolbeault J.: Best constants for Gagliardo-Nirenberg inequalities and applications to nonlinear diffusions. J. Math. Pures Appl. 81, 847-875 (2002).
-
(2002)
J. Math. Pures Appl.
, vol.81
, pp. 847-875
-
-
Del Pino, M.1
Dolbeault, J.2
-
22
-
-
0000562793
-
Normal and integral currents
-
Federer H., Fleming W.: Normal and integral currents. Ann. Math. 72, 458-520 (1960).
-
(1960)
Ann. Math.
, vol.72
, pp. 458-520
-
-
Federer, H.1
Fleming, W.2
-
23
-
-
55549087886
-
Non-linear ground state representations and sharp Hardy inequalities
-
Frank R. L., Seiringer R.: Non-linear ground state representations and sharp Hardy inequalities. J. Funct. Anal. 255, 3407-3430 (2008).
-
(2008)
J. Funct. Anal.
, vol.255
, pp. 3407-3430
-
-
Frank, R.L.1
Seiringer, R.2
-
24
-
-
0035997406
-
The Brunn-Minkowski inequality
-
Gardner R.: The Brunn-Minkowski inequality. Bull. Am. Math. Soc. (N. S.) 39, 355-405 (2002).
-
(2002)
Bull. Am. Math. Soc. (N.S.)
, vol.39
, pp. 355-405
-
-
Gardner, R.1
-
25
-
-
70350268409
-
Geometric tomography
-
2nd edn, Cambridge University Press, Cambridge
-
Gardner, R.: Geometric tomography, 2nd edn. In: Encyclopedia of Mathematics and its Applications, vol. 58. Cambridge University Press, Cambridge (2006).
-
(2006)
Encyclopedia of Mathematics and its Applications
, vol.58
-
-
Gardner, R.1
-
26
-
-
0000575981
-
Isoperimetric inequalities and capacities on Riemannian manifolds
-
(Rostock, 1998), Oper. Theory Adv. Appl., 109. Birkhäuser, Basel
-
Grigor'yan, A.: Isoperimetric inequalities and capacities on Riemannian manifolds. In: The Maz'ya anniversary collection, vol. 1 (Rostock, 1998), pp. 139-153. Oper. Theory Adv. Appl., 109. Birkhäuser, Basel (1999).
-
(1999)
The Maz'ya anniversary collection
, vol.1
, pp. 139-153
-
-
Grigor'yan, A.1
-
27
-
-
17444421922
-
-
No. 2000-7, NCTS in Tsing-Hua University
-
n. No. 2000-7, NCTS in Tsing-Hua University.
-
n
-
-
Guan, P.1
Li, C.S.2
-
28
-
-
80051619056
-
Blaschke valuations
-
(in press)
-
Haberl, C.: Blaschke valuations. Am. J. Math. (in press).
-
Am. J. Math.
-
-
Haberl, C.1
-
33
-
-
0000600466
-
Some simple inequalities satisfied by convex functions
-
Hardy G. H., Littlewood J. E., Polya G.: Some simple inequalities satisfied by convex functions. Messenger Math. 58, 145-152 (1929).
-
(1929)
Messenger Math.
, vol.58
, pp. 145-152
-
-
Hardy, G.H.1
Littlewood, J.E.2
Polya, G.3
-
35
-
-
4644370992
-
On the Christoffel-Minkowski problem of Firey's p-sum
-
Hu C., Ma X.-N., Shen C.: On the Christoffel-Minkowski problem of Firey's p-sum. Calc. Var. Partial Differ. Equ. 21, 137-155 (2004).
-
(2004)
Calc. Var. Partial Differ. Equ.
, vol.21
, pp. 137-155
-
-
Hu, C.1
Ma, X.-N.2
Shen, C.3
-
37
-
-
0037176336
-
Projection bodies and valuations
-
Ludwig M.: Projection bodies and valuations. Adv. Math. 172, 158-168 (2002).
-
(2002)
Adv. Math.
, vol.172
, pp. 158-168
-
-
Ludwig, M.1
-
38
-
-
0042575606
-
Ellipsoids and matrix-valued valuations
-
Ludwig M.: Ellipsoids and matrix-valued valuations. Duke Math. J. 119, 159-188 (2003).
-
(2003)
Duke Math. J.
, vol.119
, pp. 159-188
-
-
Ludwig, M.1
-
39
-
-
33845887583
-
Intersection bodies and valuations
-
Ludwig M.: Intersection bodies and valuations. Am. J. Math. 128, 1409-1428 (2006).
-
(2006)
Am. J. Math.
, vol.128
, pp. 1409-1428
-
-
Ludwig, M.1
-
40
-
-
70350259922
-
A classification of SL(n) invariant valuations
-
(in press)
-
Ludwig, M., Reitzner, M.: A classification of SL(n) invariant valuations. Ann. Math. (in press).
-
Ann. Math.
-
-
Ludwig, M.1
Reitzner, M.2
-
41
-
-
84972508818
-
The Brunn-Minkowski-Firey theory. I. Mixed volumes and the Minkowski problem
-
Lutwak E.: The Brunn-Minkowski-Firey theory. I. Mixed volumes and the Minkowski problem. J. Differ. Geom. 38, 131-150 (1993).
-
(1993)
J. Differ. Geom.
, vol.38
, pp. 131-150
-
-
Lutwak, E.1
-
42
-
-
0030600832
-
The Brunn-Minkowski-Firey theory. Part II: Affine and geominimal surface areas
-
Lutwak E.: The Brunn-Minkowski-Firey theory. Part II: affine and geominimal surface areas. Adv. Math. 118, 244-294 (1996).
-
(1996)
Adv. Math.
, vol.118
, pp. 244-294
-
-
Lutwak, E.1
-
43
-
-
0001946764
-
Selected affine isoperimetric inequalities
-
P. M. Gruber and J. M. Wills (Eds.), Horth-Holland: Elsevier
-
Lutwak E.: Selected affine isoperimetric inequalities. In: Gruber, P. M., Wills, J. M. (eds) Handbook of Convex Geometry, vol. A, pp. 151-176. Elsevier, Horth-Holland (1993).
-
(1993)
Handbook of Convex Geometry
, vol.A
, pp. 151-176
-
-
Lutwak, E.1
-
44
-
-
84972497535
-
On the regularity of solutions to a generalization of the Minkowski problem
-
Lutwak E., Oliker V.: On the regularity of solutions to a generalization of the Minkowski problem. J. Differ. Geom. 41, 227-246 (1995).
-
(1995)
J. Differ. Geom.
, vol.41
, pp. 227-246
-
-
Lutwak, E.1
Oliker, V.2
-
47
-
-
0037085728
-
The Cramer-Rao inequality for star bodies
-
Lutwak E., Yang D., Zhang G.: The Cramer-Rao inequality for star bodies. Duke Math. J. 112, 59-81 (2002).
-
(2002)
Duke Math. J.
, vol.112
, pp. 59-81
-
-
Lutwak, E.1
Yang, D.2
Zhang, G.3
-
50
-
-
0035994230
-
An elementary proof of sharp Sobolev embeddings
-
Malý J., Pick L.: An elementary proof of sharp Sobolev embeddings. Proc. Am. Math. Soc. 130, 555-563 (2002).
-
(2002)
Proc. Am. Math. Soc.
, vol.130
, pp. 555-563
-
-
Malý, J.1
Pick, L.2
-
51
-
-
0032115840
-
The sharp constant in Hardy's inequality for complement of bounded domain
-
Matskewich T., Sobolevskii P. E.: The sharp constant in Hardy's inequality for complement of bounded domain. Nonlinear Anal. 33, 105-120 (1998).
-
(1998)
Nonlinear Anal.
, vol.33
, pp. 105-120
-
-
Matskewich, T.1
Sobolevskii, P.E.2
-
52
-
-
0000835143
-
Classes of domains and imbedding theorems for function spaces
-
Maz′ya V. G.: Classes of domains and imbedding theorems for function spaces. Soviet Math. Dokl. 1, 882-885 (1960).
-
(1960)
Soviet Math. Dokl.
, vol.1
, pp. 882-885
-
-
Mazya, V.G.1
-
53
-
-
0013551730
-
Certain integral inequalities for functions of many variables
-
Problems in Mathematical Analysis. Leningrad: LGU, No. 3, 33-68 (1972) (Russian). English translation
-
Maz′ya, V. G.: Certain integral inequalities for functions of many variables. Problems in Mathematical Analysis. Leningrad: LGU, No. 3, 33-68 (1972) (Russian). English translation: J. Soviet Math. 1, 205-234 (1973).
-
(1973)
J. Soviet Math.
, vol.1
, pp. 205-234
-
-
Maz′ya, V.G.1
-
54
-
-
0003796632
-
-
Berlin: Springer-Verlag
-
Maz′ya V. G.: Sobolev Spaces. Springer-Verlag, Berlin (1985).
-
(1985)
Sobolev Spaces
-
-
Mazya, V.G.1
-
55
-
-
33947577879
-
Lectures on isoperimetric and isocapacitary inequalities in the theory of Sobolev spaces
-
Maz′ya V. G.: Lectures on isoperimetric and isocapacitary inequalities in the theory of Sobolev spaces. Contemp. Math. 338, 307-340 (2003).
-
(2003)
Contemp. Math.
, vol.338
, pp. 307-340
-
-
Mazya, V.G.1
-
56
-
-
19544369457
-
Conductor and capacitary inequalities for functions on topological spaces and their applications to Sobolev-type imbeddings
-
Maz′ya V. G.: Conductor and capacitary inequalities for functions on topological spaces and their applications to Sobolev-type imbeddings. J. Funct. Anal. 224, 408-430 (2005).
-
(2005)
J. Funct. Anal.
, vol.224
, pp. 408-430
-
-
Mazya, V.G.1
-
57
-
-
77955473252
-
Integral and isocapacitary inequalities
-
Linear and Complex Analysis, Amer. Math. Soc. Transl. Ser. 2, 226. Providence
-
Maz′ya, V. G.: Integral and isocapacitary inequalities. Linear and Complex Analysis, pp. 85-107. Amer. Math. Soc. Transl. Ser. 2, 226. Amer. Math. Soc., Providence (2009).
-
(2009)
Amer. Math. Soc.
, pp. 85-107
-
-
Maz′ya, V.G.1
-
58
-
-
0036376908
-
The Schrödinger operator on the energy space: Boundedness and compactness criteria
-
Maz′ya V. G., Verbitsky I. E.: The Schrödinger operator on the energy space: boundedness and compactness criteria. Acta Math. 188, 263-302 (2002).
-
(2002)
Acta Math.
, vol.188
, pp. 263-302
-
-
Mazya, V.G.1
Verbitsky, I.E.2
-
59
-
-
24944591317
-
Infinitesimal form boundedness and Trudinger's subordination for the Schrödinger operator
-
Maz′ya V. G., Verbitsky I. E.: Infinitesimal form boundedness and Trudinger's subordination for the Schrödinger operator. Invent. Math. 162, 81-136 (2005).
-
(2005)
Invent. Math.
, vol.162
, pp. 81-136
-
-
Mazya, V.G.1
Verbitsky, I.E.2
-
60
-
-
33746415789
-
Form boundedness of the general second-order differential operator
-
Maz′ya V. G., Verbitsky I. E.: Form boundedness of the general second-order differential operator. Comm. Pure Appl. Math. 59, 1286-1329 (2006).
-
(2006)
Comm. Pure Appl. Math.
, vol.59
, pp. 1286-1329
-
-
Mazya, V.G.1
Verbitsky, I.E.2
-
61
-
-
0034713473
-
On the p-affine surface area
-
Meyer M., Werner E.: On the p-affine surface area. Adv. Math. 152, 288-313 (2000).
-
(2000)
Adv. Math.
, vol.152
, pp. 288-313
-
-
Meyer, M.1
Werner, E.2
-
62
-
-
58249085896
-
On the role of convexity in isoperimetry, spectral gap and concentration
-
Milman E.: On the role of convexity in isoperimetry, spectral gap and concentration. Invent. Math. 177, 1-43 (2009).
-
(2009)
Invent. Math.
, vol.177
, pp. 1-43
-
-
Milman, E.1
-
63
-
-
84972495996
-
(p,q) spaces
-
(p, q) spaces. Duke Math. J. 30, 129-142 (1963).
-
(1963)
Duke Math. J.
, vol.30
, pp. 129-142
-
-
O'Neil, R.1
-
64
-
-
0001469934
-
Espaces d'interpolation et theorème de Soboleff
-
Peetre J.: Espaces d'interpolation et theorème de Soboleff. Ann. Inst. Fourier 16, 279-317 (1966).
-
(1966)
Ann. Inst. Fourier
, vol.16
, pp. 279-317
-
-
Peetre, J.1
-
65
-
-
0002344844
-
Isoperimetric problems
-
(Univ. Oklahoma, Norman, Okla., 1971), Dept. Math., Univ. Oklahoma, Norman, Oklahoma
-
Petty, C. M.: Isoperimetric problems. In: Proceedings of the Conference on Convexity and Combinatorial Geometry (Univ. Oklahoma, Norman, Okla., 1971), pp. 26-41. Dept. Math., Univ. Oklahoma, Norman, Oklahoma (1971).
-
(1971)
Proceedings of the Conference on Convexity and Combinatorial Geometry
, pp. 26-41
-
-
Petty, C.M.1
-
67
-
-
4944246828
-
The Fourier transform and Firey projections of convex bodies
-
Ryabogin D., Zvavitch A.: The Fourier transform and Firey projections of convex bodies. Indiana Univ. Math. J. 53, 667-682 (2004).
-
(2004)
Indiana Univ. Math. J.
, vol.53
, pp. 667-682
-
-
Ryabogin, D.1
Zvavitch, A.2
-
68
-
-
0003333144
-
Convex bodies: The Brunn-Minkowski theory
-
Cambridge University Press, Cambridge
-
Schneider, R.: Convex bodies: the Brunn-Minkowski theory. In: Encyclopedia of Mathematics and its Applications, vol. 44. Cambridge University Press, Cambridge (1993).
-
(1993)
Encyclopedia of Mathematics and its Applications
, vol.44
-
-
Schneider, R.1
-
69
-
-
3242875430
-
Surface bodies and p-affine surface area
-
Schütt C., Werner E.: Surface bodies and p-affine surface area. Adv. Math. 187, 98-145 (2004).
-
(2004)
Adv. Math.
, vol.187
, pp. 98-145
-
-
Schütt, C.1
Werner, E.2
-
70
-
-
0037091516
-
0-Minkowski problem
-
0-Minkowski problem. Adv. Math. 167, 160-174 (2002).
-
(2002)
Adv. Math.
, vol.167
, pp. 160-174
-
-
Stancu, A.1
-
71
-
-
0346269039
-
0-Minkowski problem
-
0-Minkowski problem. Adv. Math. 180, 290-323 (2003).
-
(2003)
Adv. Math.
, vol.180
, pp. 290-323
-
-
Stancu, A.1
-
72
-
-
34250392866
-
Best constant in Sobolev inequality
-
Talenti G.: Best constant in Sobolev inequality. Ann. Mat. Pura Appl. 110, 353-372 (1976).
-
(1976)
Ann. Mat. Pura Appl.
, vol.110
, pp. 353-372
-
-
Talenti, G.1
-
73
-
-
84966261517
-
Crystalline variational problems
-
Taylor J.: Crystalline variational problems. Bull. Am. Math. Soc. 84, 568-588 (1978).
-
(1978)
Bull. Am. Math. Soc.
, vol.84
, pp. 568-588
-
-
Taylor, J.1
-
74
-
-
0348159895
-
p-Minkowski problem
-
p-Minkowski problem. Adv. Math. 180, 176-186 (2003).
-
(2003)
Adv. Math.
, vol.180
, pp. 176-186
-
-
Umanskiy, V.1
-
75
-
-
33947598128
-
The sharp Sobolev and isoperimetric inequalities split twice
-
Xiao J.: The sharp Sobolev and isoperimetric inequalities split twice. Adv. Math. 211, 417-435 (2007).
-
(2007)
Adv. Math.
, vol.211
, pp. 417-435
-
-
Xiao, J.1
-
76
-
-
84901627252
-
-
Topics Around Research of Vladimir Maz′ya, I. Function Spaces, Springer
-
Xiao, J.: The p-Faber-Krahn inequality noted. Topics Around Research of Vladimir Maz′ya, I. Function Spaces, pp. 373-390. Springer (2010).
-
(2010)
The p-Faber-Krahn inequality noted
, pp. 373-390
-
-
Xiao, J.1
-
77
-
-
0001846041
-
The affine Sobolev inequality
-
Zhang G.: The affine Sobolev inequality. J. Differ. Geom. 53, 183-202 (1999).
-
(1999)
J. Differ. Geom.
, vol.53
, pp. 183-202
-
-
Zhang, G.1
|