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Some Equivalent Norms in Sobolev‐Besov Spaces on Symmetric Riemannian Manifolds
Author(s) -
Skrzypczak Leszek
Publication year - 1996
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/53.3.569
Subject(s) - sobolev space , mathematics , pure mathematics , laplace transform , besov space , mathematical analysis , type (biology) , ricci flat manifold , interpolation space , functional analysis , geology , geometry , scalar curvature , paleontology , biochemistry , chemistry , gene , curvature
In this paper we introduce local means on Riemannian symmetric manifolds of the noncompact type corresponding to the Laplace‐Beltrami operator, and investigate equivalent norms in the Sobolev and Besov spaces defined via these means.