Open AccessSobolev and Trudinger type inequalities on grand Musielak-Orlicz-Morrey spaces
Author(s) -
Fumi-Yuki Maeda,
Yoshihiro Mizuta,
Takao Ohno,
Tetsu Shimomura
Publication year - 2015
Publication title -
annales academiae scientiarum fennicae mathematica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.865
H-Index - 37
eISSN - 1798-2383
pISSN - 1239-629X
DOI - 10.5186/aasfm.2015.4027
Subject(s) - mathematics , type (biology) , sobolev space , pure mathematics , inequality , mathematical analysis , geology , paleontology
Our aim in this paper is to establish generalizations of Sobolev's inequality and Trudinger's inequality for general potentials of functions in grand Musielak-Orlicz-Morrey spaces.
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