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Sobolev's inequality for Riesz potentials of functions in Morrey spaces of integral form
Author(s) -
Mizuta Yoshihiro,
Shimomura Tetsu
Publication year - 2010
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.200710122
Subject(s) - mathematics , sobolev inequality , sobolev space , riesz transform , inequality , mathematical analysis , pure mathematics , riesz potential
Abstract Morrey spaces have become a good tool for the study of existence and regularity of solutions of partial differential equations. Our aim in this paper is to give Sobolev's inequality for Riesz potentials of functions in Morrey spaces (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)