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Volumn 135, Issue 7, 2007, Pages 2019-2030

Link of groups and hömogeneous hormander operators

Author keywords

H rmander operators; Kolmogorov operators; Partial differential operators on homogeneous Lie groups

Indexed keywords


EID: 34848862007     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-07-08646-7     Document Type: Article
Times cited : (9)

References (14)
  • 1
    • 85086684181 scopus 로고    scopus 로고
    • Sub-Laplacians with drift on Lie groups of polynomial volume growth
    • MR1878341 2003c:22015
    • G. K. Alexopoulos, Sub-Laplacians with drift on Lie groups of polynomial volume growth, Mem. Amer. Math. Soc. 155 (2002), no. 739. MR1878341 (2003c:22015)
    • (2002) Mem. Amer. Math. Soc. , vol.155 , Issue.739
    • Alexopoulos, G.K.1
  • 2
    • 1642500597 scopus 로고    scopus 로고
    • Uniform Gaussian estimates for the fundamental solutions for heat operators on Carnot groups
    • MR1919700 2003f:35054
    • A. Bonfiglioli, E. Lanconelli and F. Uguzzoni, Uniform Gaussian estimates for the fundamental solutions for heat operators on Carnot groups, Advances Diff. Equat. 7 (2002), 1153-1192. MR1919700 (2003f:35054)
    • (2002) Advances Diff. Equat. , vol.7 , pp. 1153-1192
    • Bonfiglioli, A.1    Lanconelli, E.2    Uguzzoni, F.3
  • 3
    • 2942659732 scopus 로고    scopus 로고
    • Families of diffeomorphic sub-Laplacians and free Carnot groups
    • MR2050190 2005f:22029
    • A. Bonfiglioli and F. Uguzzoni, Families of diffeomorphic sub-Laplacians and free Carnot groups, Forum Math., 16 (2004), 403-415. MR2050190 (2005f:22029)
    • (2004) Forum Math. , vol.16 , pp. 403-415
    • Bonfiglioli, A.1    Uguzzoni, F.2
  • 4
    • 0000376647 scopus 로고
    • Principe du maximum, inégalité de harnack et unicité du problème de cauchy pour les opérateurs elliptiques dégénéré S
    • MR0262881 41:7486
    • J. M. Bony, Principe du maximum, inégalité de Harnack et unicité du problème de Cauchy pour les opérateurs elliptiques dégénéré s, Ann. Inst. Fourier, Grenoble 19 (1969), 277-304. MR0262881 (41:7486)
    • (1969) Ann. Inst. Fourier, Grenoble , vol.19 , pp. 277-304
    • Bony, J.M.1
  • 5
    • 0012416550 scopus 로고    scopus 로고
    • p estimates for nonvariational hypoelliptic operators with VMO coefficients
    • MR1608289 2000c:35026
    • p estimates for nonvariational hypoelliptic operators with VMO coefficients, Trans. Amer. Math. Soc., 352 (2000), no. 2, 781-822. MR1608289 (2000c:35026)
    • (2000) Trans. Amer. Math. Soc. , vol.352 , Issue.2 , pp. 781-822
    • Bramanti, M.1    Brandolini, L.2
  • 6
    • 27344431988 scopus 로고    scopus 로고
    • p estimates for uniformly hypoelliptic operators with discontinuous coefficients on homogeneous groups
    • MR1962808 2004c:35058
    • p estimates for uniformly hypoelliptic operators with discontinuous coefficients on homogeneous groups, Rend. Sem. Mat. Univ. Politec. Torino, 58 (2000), no. 4, 389-493. MR1962808 (2004c:35058)
    • (2000) Rend. Sem. Mat. Univ. Politec. Torino , vol.58 , Issue.4 , pp. 389-493
    • Bramanti, M.1    Brandolini, L.2
  • 7
    • 0000876740 scopus 로고
    • Subelliptic estimates and function spaces on nilpotent Lie groups
    • MR0494315 58:13215
    • G. B. Folland, Subelliptic estimates and function spaces on nilpotent Lie groups, Ark. Mat. 13 (1975), 161-207. MR0494315 (58:13215)
    • (1975) Ark. Mat. , vol.13 , pp. 161-207
    • Folland, G.B.1
  • 8
    • 15244346736 scopus 로고
    • Hypoelliptic second-order differential equations
    • MR0222474 36:5526
    • L. Hörmander, Hypoelliptic second-order differential equations, Acta Math. 119 (1967), 147-171. MR0222474 (36:5526)
    • (1967) Acta Math. , vol.119 , pp. 147-171
    • Hörmander, L.1
  • 9
    • 33750156225 scopus 로고    scopus 로고
    • An invariant Harnack inequality for a class of hypoelliptic ultraparabolic equations
    • MR2088032 2006b:35042
    • A. E. Kogoj and E. Lanconelli, An invariant Harnack inequality for a class of hypoelliptic ultraparabolic equations, Mediterr. J. Math. 1 (2004), 51-80. MR2088032 (2006b:35042)
    • (2004) Mediterr. J. Math. , vol.1 , pp. 51-80
    • Kogoj, A.E.1    Lanconelli, E.2
  • 10
    • 33750150267 scopus 로고    scopus 로고
    • One-side liouville theorems for a class of hypoelliptic ultraparabolic equations
    • MR2126477 2005j:35025
    • A. E. Kogoj and E. Lanconelli, One-Side Liouville Theorems for a Class of Hypoelliptic Ultraparabolic Equations, Contemporary Math. 368 (2005), 305-312. MR2126477 (2005j:35025)
    • (2005) Contemporary Math. , vol.368 , pp. 305-312
    • Kogoj, A.E.1    Lanconelli, E.2
  • 11
    • 17144381980 scopus 로고    scopus 로고
    • Linear and nonlinear ultraparabolic equations of Kolmogorov type arising in diffusion theory and finance, in the book "nonlinear problems in mathematical physics and related topics, II" in Honor of Professor O. A. Ladyzhenskaya
    • MR1972000 2004c:35238
    • E. Lanconelli, A. Pascucci and S. Polidoro, Linear and nonlinear ultraparabolic equations of Kolmogorov type arising in diffusion theory and finance, in the book "Nonlinear Problems in Mathematical Physics and Related Topics, II" in Honor of Professor O. A. Ladyzhenskaya, Int. Math. Series 2 (2002), 243-265. MR1972000 (2004c:35238)
    • (2002) Int. Math. Series , vol.2 , pp. 243-265
    • Lanconelli, E.1    Pascucci, A.2    Polidoro, S.3
  • 12
    • 0002596050 scopus 로고
    • On a class of hypoelliptic evolution operators
    • Partial Diff. Eqs., MR1289901 95h:35044
    • E. Lanconelli and S. Polidoro, On a class of hypoelliptic evolution operators, Rend. Sem. Mat. Univ. Pol. Torino 52 (1994), Partial Diff. Eqs., 29-63. MR1289901 (95h:35044)
    • (1994) Rend. Sem. Mat. Univ. Pol. Torino , vol.52 , pp. 29-63
    • Lanconelli, E.1    Polidoro, S.2
  • 13
    • 34250382135 scopus 로고
    • Hypoelliptic differential operators and nilpotent groups
    • MR0436223 55:9171
    • L. P. Rothschild and E. M. Stein, Hypoelliptic differential operators and nilpotent groups, Acta Math. 137 (1976), 247-320. MR0436223 (55:9171)
    • (1976) Acta Math. , vol.137 , pp. 247-320
    • Rothschild, L.P.1    Stein, E.M.2
  • 14
    • 0003472997 scopus 로고
    • Cambridge Tracts in Mathematics 100, Cambridge University Press, Cambridge. MR1218884 95f:43008
    • N. T. Varopoulos, L. Saloff-Coste and T. Coulhon, Analysis and geometry on groups, Cambridge Tracts in Mathematics 100, Cambridge University Press (1992), Cambridge. MR1218884 (95f:43008)
    • (1992) Analysis and Geometry on Groups
    • Varopoulos, N.T.1    Saloff-Coste, L.2    Coulhon, T.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.