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Sobolev's inequality for Riesz potentials of functions in grand Musielak–Orlicz–Morrey spaces over nondoubling metric measure spaces
Author(s) -
Ohno Takao,
Shimomura Tetsu
Publication year - 2018
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.201700019
Subject(s) - mathematics , measure (data warehouse) , pure mathematics , maximal function , metric (unit) , riesz transform , birnbaum–orlicz space , sobolev space , interpolation space , mathematical analysis , functional analysis , operations management , database , computer science , economics , biochemistry , chemistry , gene
In this paper we are concerned with Sobolev's inequality for Riesz potentials of functions in grand Musielak–Orlicz–Morrey spaces over nondoubling metric measure spaces.