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Title: Preservation of certain vanishing properties of generalized Morrey spaces by some classical operators
Author: Alabalik, Aysegul Ç.
Almeida, Alexandre
Samko, Stefan
Keywords: Generalized Morrey spaces
Hardy operators
Maximal functions
Potential operators
Singular-type operators
Vanishing properties
Issue Date: 15-Nov-2020
Publisher: Wiley
Abstract: We show that certain vanishing properties defining closed subspaces of generalized Morrey spaces are preserved under the action of various classical operators of harmonic analysis, such as maximal operators, singular-type operators, Hardy operators, and fractional integral operators. Those vanishing subspaces were recently used to deal with the delicate problem on the description of the closure of nice functions in Morrey norm.
Peer review: yes
DOI: 10.1002/mma.6235
ISSN: 0170-4214
Appears in Collections:CIDMA - Artigos
DMat - Artigos
FAAG - Artigos

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