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Matematicheskie Zametki, 2017, Volume 101, Issue 3, paper published in the English version journal
(Mi mzm11253)
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This article is cited in 10 scientific papers (total in 10 papers)
Papers published in the English version of the journal
Sublinear Operators with Rough Kernel Generated by Calderón–Zygmund Operators and Their Commutators on Generalized Morrey Spaces
F. Gürbüz Department of Mathematics, Ankara University,
Ankara, Turkey
Abstract:
The aim of this paper is to establish the boundedness of certain sublinear operators
with rough kernel generated by Calderón–Zygmund operators and their
commutators on generalized Morrey spaces under generic size conditions which
are satisfied by most of the operators in harmonic analysis.
The Marcinkiewicz operator which satisfies the conditions of these theorems
can be considered as an example.
Keywords:
sublinear operator, Calderón–Zygmund operator, rough kernel, generalized
Morrey space, commutator, $\operatorname{BMO}$.
Received: 06.06.2016
Citation:
F. Gürbüz, “Sublinear Operators with Rough Kernel Generated by Calderón–Zygmund Operators and Their Commutators on Generalized Morrey Spaces”, Math. Notes, 101:3 (2017), 429–442
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Abstract page: | 248 |
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