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Transactions of the American Mathematical Society

Volumn 354, Issue 5, 2002, Pages 1961-1995

Nonlinear Cauchy-Riemann operators in ℝn

(1) Iwaniec, Tadeusz a

a SYRACUSE UNIVERSITY (United States)

Author keywords

Jacobians; Quasiconformal mappings; Rank one convexity; Sharp estimates for singular integrals

Indexed keywords

EID: 0036342022 PISSN: 00029947 EISSN: None Source Type: Journal
DOI: 10.1090/S0002-9947-02-02914-8 Document Type: Article

Times cited : (51)

References (46)

1
- 34250607060
- Conformal invariants and function theoretic null sets
- AB, MR 12:171c
- (1950) Acta Math , vol.83 , pp. 101-129
- Ahlfors, L.V.¹ Beurling, A.²

2
- 0002221589
- Area distortion of quasiconformal mappings
- A1. MR 95m:30028b
- (1994) Acta Math , vol.173 , pp. 37-60
- Astala, K.¹

3
- 0009969065
- Planar quasiconformal mappings; Deformations and interactions
- A2, A Collection of Papers Honoring F. W. Gehring (P. Duren, J. Heinonen, B. Osgood and B. Palka, eds.), Springer-Verlag, New York, MR 99a:30025
- (1998) Quasiconformal Mappings and Analysis , pp. 33-54

4
- 0345756837
- Analytic aspects of quasiconformality
- A3, Proceedings of ICM (Berlin, 1998) Extra Vol. II, MR 99h:30024
- Doc. Math. , vol.1998 , pp. 617-626

5
- 0002078041
- Beltrami operators in the plane
- AIS. MR 2001m:30021
- (2001) Duke Math. J. , vol.107 , pp. 27-56
- Astala, K.¹ Iwaniec, T.² Saksman, E.³

6
- 0017417265
- Convexity conditions and existence theorems in nonlinear elasticity
- B. MR 57:14788
- (1977) Arch. Rat. Mech. Anal. , vol.63 , pp. 337-403
- Ball, J.M.¹

7
- 0031116397
- n
- BL. MR 98a:30007
- (1997) J. Funct. Anal. , vol.145 , pp. 224-265
- Bañuelos, R.¹ Lindeman, A.²

8
- 0009968481
- BM-H, preprint
- (2001) Space-time Brownian motion and the Beurling-Ahlfors transform
- Bañuelos, R.¹ Méndez-Hernández, P.J.²

9
- 0002252232
- Some conjectures about integral means of ∂f and ∂̄f
- BM-S, Complex Analysis and Differential Equations (Proc. Sympos. in Honor of Matts Essén, Uppsala 1997; C. Kiselman and A. Vretblad, eds.), MR 2001i:30002
- (1999) Acta Univ. Upalensis. , vol.64 , pp. 92-109
- Baernstein, A.¹ Montgomery-Smith, S.J.²

10
- 84974002292
- Sharp inequalities for martingales with applications to the Beurling-Ahlfors and Riesz transforms
- BW. MR 96k:60108
- (1995) Duke Math. J. , vol.80 , pp. 575-600
- Bañuelos, R.¹ Wang, G.²

11
- 0002506929
- Sharp inequalities for martingales and stochastic integrals
- B1. MR 90b:60051
- (1988) Astérisque , vol.157-158 , pp. 75-94
- Burkholder, D.L.¹

12
- 0010002786
- A proof of Pelczyński's conjecture for the Haar system
- B2. MR 89j:46026
- (1988) Studia Math. , vol.91 , Issue.1 , pp. 79-83

13
- 85067946483
- Direct methods in the calculus of variations
- D, Springer-Verlag, MR 90e:49001
- (1989) Applied Mathematical Sciences , vol.78
- Dacorogna, B.¹

14
- 0000254693
- Quasiconformal 4-manifolds
- DS. MR 91d:57012
- (1989) Acta Math. , vol.163 , pp. 181-252
- Donaldson, S.K.¹ Sullivan, D.P.²

15
- 0002038388
- p-integrability of the partial derivatives of a quasiconformal mapping
- G. MR 53:5861
- (1973) Acta Math. , vol.130 , pp. 265-277
- Gehring, F.W.¹

16
- 85012281807
- New inequalities for the Jacobian
- GI. MR 95b:42020
- (1994) Ann. Inst. H. Poincaré, Analyse non linéaire , vol.11 , Issue.1 , pp. 17-35
- Greco, L.¹ Iwaniec, T.²

17
- 0002787075
- Extremal inequalities in Sobolev spaces and quasiconformal mappings
- I1. MR 85g:30027.
- (1982) Z. Anal. Anwendungen , vol.1 , pp. 1-16
- Iwaniec, T.¹

18
- 0000417913
- p-estimates for degenerate elliptic operators
- I2. MR 85i:46037
- (1983) Studia Math. , vol.75 , pp. 293-312

19
- 0001053731
- p-Harmonic tensors and quasiregular mappings
- I3. MR 94d:30034
- (1993) Annals of Math. , vol.136 , pp. 589-624

20
- 0010007392
- Integrability theory of the Jacobians
- I4, preprint 36, Sonderforschungsbereich 256, Bonn
- (1995) Lipschitz Lectures in Bonn

21
- 0009967935
- On the concept of the weak Jacobian and Hessian
- I5, dedicated to Olli Martio
- (2001) Report of the University of Jyväskylä , Issue.83 , pp. 181-205

22
- 21344475437
- Integral estimates for null Lagrangians
- IL. MR 95c:58054
- (1993) Arch. Rat. Mech. Anal. , vol.125 , pp. 25-79
- Iwaniec, T.¹ Lutoborski, A.²

23
- 0001794480
- Quasiregular mappings in even dimensions
- IM1. MR 94m:30046
- (1993) Acta Math. , vol.170 , pp. 29-81
- Iwaniec, T.¹ Martin, G.²

24
- 0001778178
- Riesz transforms and related singular integrals
- IM2. MR 97k:42033
- (1996) J. reine angew. Math. , vol.473 , pp. 25-57

25
- 0003303641
- Geometric function theory and nonlinear analysis
- IM3
- (2001) Oxford Mathematical Monographs
- Iwaniec, T.¹ Martin, G.²

26
- 21844501153
- Integrability and removability results for quasiregular mappings in high dimensions
- IMNS. MR 96e:30052
- (1994) Math. Scand. , vol.75 , pp. 263-279
- Iwaniec, T.¹ Migliaccio, L.² Nania, L.³ Sbordone, C.⁴

27
- 84941379416
- Weak minima of variational integrals
- IS. MR 95d:49035
- (1994) J. reine angew. Math. , vol.454 , pp. 143-161
- Iwaniec, T.¹ Sbordone, C.²

28
- 0000597622
- On the operator ℒ (f) = f log |f|
- IV. MR 2001i:42034
- (1999) J. Fun. Anal. , vol.169 , pp. 391-420
- Iwaniec, T.¹ Verde, A.²

29
- 0035999221
- The failure of rank-one connections
- IVV, to appear in
- Arch. Rat. Mech. Anal.
- Iwaniec, T.¹ Verchota, G.² Vogel, A.³

30
- 0010043880
- Quasiregular mappings from the multilinear point of view
- M. MR 96j:30034
- (1995) Ber. University Jyväskylä Math. Inst. , vol.68 , pp. 55-94
- Manfredi, J.¹

31
- 84972497511
- Quasiconvexity and the semicontinuity of multiple integrals
- M1. MR 14:992a
- (1952) Pacific J. Math. , vol.2 , pp. 25-53
- Morrey, C.B.¹

32
- 0004154258
- M2, Springer-Verlag, Berlin. MR 34:2380
- (1966) Multiple Integrals in the Calculus of Variations

33
- 0000987681
- Sharp stability results for almost conformal maps in even dimensions
- MSY. MR 2001f:30024
- (1999) Journ. Geom. Anal. , vol.9 , pp. 671-681
- Müller, S.¹ Šverák, V.² Yan, B.³

34
- 84980072436
- Remarks on strongly elliptic partial differential equations
- N. MR 17:742d
- (1955) Commun. Pure Appl. Math. , vol.8 , pp. 648-674
- Nirenberg, L.¹

35
- 0010034012
- NV, preprint
- Heating of the Beurling operator and estimates of its norms
- Nazarov, F.¹ Volberg, A.²

36
- 0009998880
- PV, preprint
- Heating of the Beurling operator: Weakly quasiregular mappings are quasiregular
- Petermichi, S.¹ Volberg, A.²

37
- 0004107202
- R. Springer-Verlag, Berlin, MR 95g:30026
- (1993) Quasiregular Mappings
- Rickman, S.¹

38
- 0010008949
- Stability theorems for mappings with bounded distortion
- R1 MR 37:6459
- (1968) Seberian Math. J. , vol.9 , pp. 499-512
- Reshetnyak, Y.G.¹

39
- 0005220557
- Space mappings with bounded distortion
- R2, Amer. Math. Soc., Providence, RI, MR 90d:30067
- (1989) Transl. Math. Monographs , vol.73

40
- 84974379719
- Examples of rank-one convex functions
- S1. MR 91h:26012
- (1990) Proc. Roy. Soc. Edinburgh , vol.114 A , pp. 237-242
- Šverák, V.¹

41
- 84974157879
- Rank-one convexity does not imply quasiconvexity
- S2. MR 93b:49026
- (1992) Proc. Roy. Soc. Edinburgh , vol.120 A , pp. 185-189

42
- 21144462890
- New examples of quasiconvex functions
- S3. MR 93h:90072
- (1992) Arch. Rational Mech. Anal. , vol.119 , pp. 293-300

43
- 0005205661
- Quasiconformal space mappings
- V. editor, Springer-Verlag, MR 94c:30030
- (1992) Lecture Notes in Math. , vol.1508
- Vuorinen, M.¹

44
- 0000257881
- 1,p-stability of the conformal set in higher dimensions
- Y1. Ann. Inst. H. Poincaré, MR 97i:49043
- (1996) Analyse Non Linéaire , vol.13 , Issue.6 , pp. 691-705
- Yan, B.¹

45
- 21744440365
- On rank-one convex and polyconvex conformal energy functions with slow growth
- Y2. MR 98c:73033
- (1997) Proc. Roy. Soc. Edinburgh , vol.127 A , pp. 651-663

46
- 21944448795
- Stability of weakly almost conformal mappings
- YZ. MR 98d:35064
- (1998) Proc. AMS , vol.126 , pp. 481-489
- Yan, B.¹ Zhou, Z.²

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