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Real interpolations for Besov and Triebel‐Lizorkin spaces on spaces of homogeneous type
Author(s) -
Yang Dachun
Publication year - 2004
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200310198
Subject(s) - homogeneous , mathematics , besov space , type (biology) , hardy space , interpolation space , interpolation (computer graphics) , pure mathematics , mathematical analysis , functional analysis , combinatorics , image (mathematics) , computer science , artificial intelligence , ecology , biochemistry , chemistry , biology , gene
Abstract The author establishes a full real interpolation theorem for inhomogeneous Besov and Triebel‐Lizorkin spaces on spaces of homogeneous type. The corresponding theorem for homogeneous Besov and Triebel‐Lizorkin spaces is also presented. Moreover, as an application, the author gives the reduced T 1 theorem for homogeneous Besov spaces on spaces of homogeneous type. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)