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 Mat. Zametki, 2017, Volume 101, Issue 3, paper published in the English version journal (Mi mz11253)

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, $\operatorname{BMO}$.

English version:
Mathematical Notes, 2017, 101:3, 429–442

Bibliographic databases:

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

Citation in format AMSBIB
\Bibitem{Gur17} \by F.~G\"urb\"uz \paper Sublinear Operators with Rough Kernel Generated by Calderón–Zygmund Operators and Their Commutators on Generalized Morrey Spaces \jour Math. Notes \yr 2017 \vol 101 \issue 3 \pages 429--442 \mathnet{http://mi.mathnet.ru/mz11253} \crossref{https://doi.org/10.1134/S0001434617030051} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=3646049} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000401454600005} \elib{http://elibrary.ru/item.asp?id=29705166} \scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85018842609} 

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. F. Gürbüz, “On the behaviors of sublinear operators with rough kernel generated by Calderon-Zygmund operators both on weighted Morrey and generalized weighted Morrey spaces”, Int. J. Appl. Math. Stat., 57:2 (2018), 33–42
2. F. Gürbüz, “On the behaviors of a class of singular type rough higher order commutators on generalized weighted Morrey spaces”, TWMS J. Appl. Eng. Math., 8:1A (2018), 208–219
3. F. Gürbüz, “Marcinkiewicz integrals with rough kernel associated with Schrödinger operators and commutators on generalized vanishing local Morrey spaces”, Tbil. Math. J., 11:3 (2018), 133–156
4. Gurbuz F., “Multilinear Bmo Estimates For the Commutators of Multilinear Fractional Maximal and Integral Operators on the Product Generalized Morrey Spaces”, Int. J. Anal. Appl., 17:4 (2019), 596–619
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