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Generalized weighted Morrey spaces and classical operators
Author(s) -
Nakamura Shohei
Publication year - 2016
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.201500260
Subject(s) - mathematics , singular integral operators , operator theory , pure mathematics , operator (biology) , fourier integral operator , singular integral , maximal operator , mathematical analysis , integral equation , bounded function , biochemistry , chemistry , repressor , transcription factor , gene
We introduce the notion of generalized weighted Morrey spaces and investigate the boundedness of some operators in these spaces, such as the Hardy–Littlewood maximal operator, generalized fractional maximal operators, generalized fractional integral operators, and singular integral operators. We also study their boundedness in the vector‐valued setting.