Some characterizations for weighted Morrey-Campanato spaces

✍ Scribed by Lin Tang

• Publisher: John Wiley and Sons
• Year: 2011
• Tongue: English
• Weight: 156 KB
• Volume: 284
• Category: Article
• ISSN: 0025-584X
• DOI: 10.1002/mana.200810237

✦ Synopsis

Abstract

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