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Besov‐Morrey spaces and Triebel‐Lizorkin‐Morrey spaces for nondoubling measures
Author(s) -
Sawano Yoshihiro,
Tanaka Hitoshi
Publication year - 2009
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.200610818
Subject(s) - mathematics , singular integral operators , class (philosophy) , pure mathematics , measure (data warehouse) , function space , type (biology) , property (philosophy) , function (biology) , besov space , mathematical analysis , singular integral , interpolation space , functional analysis , integral equation , computer science , artificial intelligence , epistemology , biochemistry , chemistry , gene , ecology , philosophy , database , evolutionary biology , biology
We define Morrey type Besov‐Triebel spaces with the underlying measure non‐doubling. After defining the function spaces, we investigate boundedness property of some class of the singular integral operators (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)