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Eurasian Mathematical Journal, 2011, Volume 2, Number 2, Pages 5–30 (Mi emj50)  
This article is cited in 6 scientific papers (total in 6 papers)

Boundedness of the anisotropic fractional maximal operator in anisotropic local Morrey-type spaces

A. Akbuluta, I. Ekincioglub, A. Serbetcic, T. Tararykovad

a Ahi Evran University, Department of Mathematics, Kirşehir, Turkey
b Department of Mathematics, Dumlupinar University, Kütahya, Turkey
c Ankara University, Department of Mathematics, Tandogan-Ankara, Turkey
d Faculty of Mechanics and Mathematics, L. N. Gumilyov Eurasian National University, Astana, Kazakhstan
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Abstract: In this paper we study the boundedness of the anisotropic fractional maximal operator in anisotropic local Morrey-type spaces. We reduce this problem to the problem of boundedness of the supremal operator in weighted $L_p$-spaces on the cone of non-negative non-decreasing functions. This makes it possible to derive sharp sufficient conditions for boundedness for all admissible values of the numerical parameters, which, for a certain range of the numerical parameters, coincide with the necessary ones.
Keywords and phrases: anisotropic fractional maximal operator, anisotropic local and global Morrey-type spaces, supremal operator on the cone of monotonic functions.
Received: 05.03.2011
Bibliographic databases:
Document Type: Article
MSC: 42B20, 42B25, 42B35
Language: English
Citation: A. Akbulut, I. Ekincioglu, A. Serbetci, T. Tararykova, “Boundedness of the anisotropic fractional maximal operator in anisotropic local Morrey-type spaces”, Eurasian Math. J., 2:2 (2011), 5–30
Citation in format AMSBIB
\Bibitem{AkbEkiSer11}
\by A.~Akbulut, I.~Ekincioglu, A.~Serbetci, T.~Tararykova
\paper Boundedness of the anisotropic fractional maximal operator in anisotropic local Morrey-type spaces
\jour Eurasian Math. J.
\yr 2011
\vol 2
\issue 2
\pages 5--30
\mathnet{http://mi.mathnet.ru/emj50}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2910829}
\zmath{https://zbmath.org/?q=an:1254.42019}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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