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Volumn 124, Issue 2, 2002, Pages 273-306

Properties of harmonic measures in the Dirichlet problem for nilpotent lie groups of Heisenberg type

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EID: 0036327887     PISSN: 00029327     EISSN: None     Source Type: Journal    
DOI: 10.1353/ajm.2002.0010     Document Type: Article
Times cited : (30)

References (55)
  • 3
    • 0000376647 scopus 로고
    • Principe du maximum, inégalité de Harnack et unicité du problème de Cauchy pour les operateurs elliptique degeneres
    • Bo
    • (1969) Ann. Inst. Fourier Grenoble , vol.119 , pp. 277-304
    • Bony, J.M.1
  • 18
    • 0000632818 scopus 로고
    • A Poisson kernel on Heisenberg type nilpotent groups
    • D2
    • (1987) Colloq. Math. , vol.53 , pp. 239-247
  • 28
    • 0000876740 scopus 로고
    • Subelliptic estimates and function spaces on nilpotent Lie groups
    • Fo2
    • (1975) Ark. Math. , vol.13 , pp. 161-207
  • 31
    • 0032410775 scopus 로고    scopus 로고
    • Lipschitz continuity, global smooth approximations and extension theorems for Sobolev functions in Carnot-Carathéodory spaces
    • GN
    • (1998) J. Anal. Math. , vol.74 , pp. 67-97
    • Garofalo, N.1    Nhieu, D.M.2
  • 32
    • 0034368524 scopus 로고    scopus 로고
    • Regularity near the characteristic set in the non-linear Dirichlet problem and conformal geometry of sub-Laplacians on Carnot groups
    • GV1
    • (2000) Math. Ann. , vol.318 , pp. 453-516
    • Garofalo, N.1    Vassilev, D.2
  • 33
    • 0009862939 scopus 로고    scopus 로고
    • Symmetry properties of positive entire solutions of Yamabe-type equations on groups of Heisenberg type
    • GV2
    • (2001) Duke Math. J. , vol.106 , pp. 411-448
  • 34
    • 34250287820 scopus 로고
    • Principe de moindre action, propagation de la chaleur et estimees sous elliptiques sur certain groupes nilpoteuts
    • Ga
    • (1977) Acta Math. , vol.139 , pp. 95-153
    • Gaveau, B.1
  • 35
    • 0002299742 scopus 로고    scopus 로고
    • Carnot-Carathéodory spaces seen from within
    • Gro, Sub-Riemannian Geometry (A. Bellaïche and J. J. Risler, eds.), Birkhäuser
    • (1996) Progr. Math. , vol.144 , pp. 79-323
    • Gromov, M.1
  • 37
    • 0001214547 scopus 로고
    • The Dirichlet problem for the Kohn Laplacian on the Heisenberg group, Parts I and II
    • Je1
    • (1981) J. Funct. Anal. , vol.43 , pp. 97-142
    • Jerison, D.1
  • 40
    • 0000841192 scopus 로고
    • Fundamental solutions for a class of hypoelliptic PDE generated by composition of quadratic forms
    • Ka1
    • (1980) Trans. Amer. Math. Soc. , vol.258 , pp. 147-153
    • Kaplan, A.1
  • 41
    • 0000262219 scopus 로고
    • Riemannian nilmanifolds attached to Clifford modules
    • Ka2
    • (1981) Geom. Dedicata , vol.11 , pp. 127-136
  • 45
    • 84981758023 scopus 로고
    • Degenerate elliptic-parabolic equations of second order
    • KN2
    • (1967) Comm. Pure Appl. Math. , vol.20 , pp. 797-872
  • 46
    • 42549172909 scopus 로고
    • Kelvin transform and harmonic polynomials on the Heisenberg group
    • Ko
    • (1985) Adv. Math. , vol.56 , pp. 28-38
    • Korányi, A.1
  • 51
    • 0000323549 scopus 로고
    • Sur les equations aux déivées partielles de la physique mathématique
    • P
    • (1890) Amer. J. Math. , vol.12 , pp. 211-294
    • Poincaré, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.