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Morrey Spaces on Spaces of Homogeneous Type and Estimates for □ b and the Cauchy‐Szegö Projection
Author(s) -
Arai Hitoshi,
Mizuhara Takahiro
Publication year - 1997
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.3211850102
Subject(s) - mathematics , corollary , homogeneous , bounded function , pure mathematics , type (biology) , operator (biology) , projection (relational algebra) , cauchy distribution , space (punctuation) , mathematical analysis , birnbaum–orlicz space , fréchet space , hardy space , interpolation space , functional analysis , combinatorics , ecology , biochemistry , chemistry , linguistics , philosophy , repressor , algorithm , gene , transcription factor , biology
In this paper, we define an appropriate version of Morrey spaces for spaces of homogeneous type. As our main result, we give a sufficient condition for an operator to be bounded on the version of Morrey spaces (cf. Theorem 3.1 and Corollary 3.5). Moreover, using thin result, we prove Morrey space estimates for various operators arising in harmonic analysis and complex analysis of several variables.