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Some characterizations for weighted Morrey‐Campanato spaces
Author(s) -
Tang Lin
Publication year - 2011
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.200810237
Subject(s) - mathematics , norm (philosophy) , convolution (computer science) , function (biology) , mathematical analysis , combinatorics , computer science , artificial intelligence , philosophy , epistemology , evolutionary biology , artificial neural network , biology
In this paper, we establish some new characterizations for weighted Morrey‐Campanato spaces by using the convolution \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\varphi _{t_B}*f$\end{document} to replace the mean value f B of a function f in the weighted Morrey‐Campanato norm, where \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\varphi \in {\cal S}({{\mathbb R}^n})$\end{document} is an appropriate Schwartz function. © 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim
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