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Volumn 67, Issue 2, 2003, Pages 201-218

Gaussian bounds for complex subelliptic operators on lie groups of polynomial growth

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EID: 0038587623     PISSN: 00049727     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0004972700033670     Document Type: Article
Times cited : (7)

References (20)
  • 1
    • 0001094583 scopus 로고
    • An application of homogenization theory to harmonie analysis: Harnack inequalities and Riesz transforms on Lie groups of polynomial growth
    • G. Alexopoulos, 'An application of homogenization theory to harmonie analysis: Harnack inequalities and Riesz transforms on Lie groups of polynomial growth', Canad. J. Math. 44 (1992), 691-727.
    • (1992) Canad. J. Math. , vol.44 , pp. 691-727
    • Alexopoulos, G.1
  • 2
    • 84972572935 scopus 로고
    • An application of homogenization theory to harmonic analysis on solvable Lie groups of polynomial growth
    • G. Alexopoulos, 'An application of homogenization theory to harmonic analysis on solvable Lie groups of polynomial growth', Pacific J. Math. 159 (1993), 19-45.
    • (1993) Pacific J. Math. , vol.159 , pp. 19-45
    • Alexopoulos, G.1
  • 3
    • 0001092529 scopus 로고    scopus 로고
    • Regularity theorems and heat kernels for elliptic operators
    • P. Auscher, 'Regularity theorems and heat kernels for elliptic operators', J. London Math. Soc. 54 (1996), 284-296.
    • (1996) J. London Math. Soc. , vol.54 , pp. 284-296
    • Auscher, P.1
  • 4
    • 84990602687 scopus 로고
    • Compactness methods in the theory of homogenization
    • M. Avellaneda and F. Lin, 'Compactness methods in the theory of homogenization', Comm. Pure Appl. Math. 40 (1987), 803-847.
    • (1987) Comm. Pure Appl. Math. , vol.40 , pp. 803-847
    • Avellaneda, M.1    Lin, F.2
  • 7
    • 0038570310 scopus 로고
    • Subcoercivity and subelliptic operators on Lie groups I: Free nilpotent groups
    • A.F.M. ter Elst and D.W. Robinson, 'Subcoercivity and subelliptic operators on Lie groups I: Free nilpotent groups', Potential Anal. 3 (1994), 283-337.
    • (1994) Potential Anal. , vol.3 , pp. 283-337
    • Ter Elst, A.F.M.1    Robinson, D.W.2
  • 8
    • 0038570308 scopus 로고
    • Subcoercivity and subelliptic operators on Lie groups II: The general case
    • A.F.M. ter Elst and D.W. Robinson, 'Subcoercivity and subelliptic operators on Lie groups II: The general case', Potential Anal. 4 (1995), 205-243.
    • (1995) Potential Anal. , vol.4 , pp. 205-243
    • Ter Elst, A.F.M.1    Robinson, D.W.2
  • 9
    • 0007437401 scopus 로고    scopus 로고
    • Second-order subelliptic operators on Lie groups I: Complex uniformly continuous principal coefficients
    • A.F.M. ter Elst and D.W. Robinson, 'Second-order subelliptic operators on Lie groups I: complex uniformly continuous principal coefficients', Acta Appl. Math. 59 (1999), 299-331.
    • (1999) Acta Appl. Math. , vol.59 , pp. 299-331
    • Ter Elst, A.F.M.1    Robinson, D.W.2
  • 10
    • 0037894020 scopus 로고    scopus 로고
    • On anomalous asymptotics of heat kernels
    • Evolution equations and their applications in physical and life sciences, G. Lumer and L. Weis, Editors, Marcel Dekker, New York
    • A.F.M. ter Elst and D.W. Robinson, 'On anomalous asymptotics of heat kernels', in Evolution equations and their applications in physical and life sciences, (G. Lumer and L. Weis, Editors), Lecture Notes in Pure and Applied Mathematics 215 (Marcel Dekker, New York, 2001), pp. 89-103.
    • (2001) Lecture Notes in Pure and Applied Mathematics , vol.215 , pp. 89-103
    • Ter Elst, A.F.M.1    Robinson, D.W.2
  • 11
    • 0007188412 scopus 로고    scopus 로고
    • Heat kernels and Riesz transforms on nilpotent Lie groups
    • A.F.M. ter Elst, D.W. Robinson and A. Sikora, 'Heat kernels and Riesz transforms on nilpotent Lie groups', Coll. Math. 74 (1997), 191-218.
    • (1997) Coll. Math. , vol.74 , pp. 191-218
    • Ter Elst, A.F.M.1    Robinson, D.W.2    Sikora, A.3
  • 12
    • 0003375437 scopus 로고    scopus 로고
    • Riesz transforms and Lie groups of polynomial growth
    • A.F.M. ter Elst, D.W. Robinson and A. Sikora, 'Riesz transforms and Lie groups of polynomial growth', J. Funct. Anal. 162 (1999), 14-51.
    • (1999) J. Funct. Anal. , vol.162 , pp. 14-51
    • Ter Elst, A.F.M.1    Robinson, D.W.2    Sikora, A.3
  • 13
    • 0001389758 scopus 로고
    • Croissance polynomiale et périodes des fonctions harmoniques
    • Y. Guivarc'h, 'Croissance polynomiale et périodes des fonctions harmoniques', Bull. Soc. Math. France 101 (1973), 333-379.
    • (1973) Bull. Soc. Math. France , vol.101 , pp. 333-379
    • Guivarc'h, Y.1
  • 14
    • 85056051149 scopus 로고
    • Harmonic analysis and fundamental solutions on nilpotent Lie groups
    • Analysis and partial differential equations, C. Sadosky, Editor, Marcel Dekker, New York
    • A. Nagel, F. Ricci and E.M. Stein, 'Harmonic analysis and fundamental solutions on nilpotent Lie groups', in Analysis and partial differential equations, (C. Sadosky, Editor), Lecture Notes in pure and applied Mathematics 122 (Marcel Dekker, New York, 1990), pp. 249-275.
    • (1990) Lecture Notes in Pure and Applied Mathematics , vol.122 , pp. 249-275
    • Nagel, A.1    Ricci, F.2    Stein, E.M.3
  • 15
    • 0041862120 scopus 로고
    • Balls and metrics defined by vector fields I: Basic properties
    • A. Nagel, E.M. Stein and S. Wainger, 'Balls and metrics defined by vector fields I: basic properties', Acta Math. 155 (1985), 103-147.
    • (1985) Acta Math. , vol.155 , pp. 103-147
    • Nagel, A.1    Stein, E.M.2    Wainger, S.3
  • 16
    • 0003292512 scopus 로고
    • Elliptic operators and Lie groups
    • Oxford University Press, New York
    • D.W. Robinson, Elliptic operators and Lie groups, Oxford Mathematical Monographs (Oxford University Press, New York, 1991).
    • (1991) Oxford Mathematical Monographs
    • Robinson, D.W.1
  • 17
    • 0037556114 scopus 로고
    • Opérateurs uniformément sous-elliptiques sur les groupes de lie
    • L. Saloff-Coste and D.W. Stroock, 'Opérateurs uniformément sous-elliptiques sur les groupes de Lie', J. Funct. Anal. 98 (1991), 97-121.
    • (1991) J. Funct. Anal. , vol.98 , pp. 97-121
    • Saloff-Coste, L.1    Stroock, D.W.2
  • 18
    • 0003319133 scopus 로고
    • Lie groups, lie algebras, and their representations
    • Springer-Verlag, New York
    • V.S. Varadarajan, Lie groups, Lie algebras, and their representations, Graduate Texts in Mathematics 102 (Springer-Verlag, New York, 1984).
    • (1984) Graduate Texts in Mathematics , vol.102
    • Varadarajan, V.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.