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

Akbulut, A., Ekincioglu, I., Serbetchi, A. and Tararykova, Tamara 2011. Boundedness of the anisotropic fractional maximal operator in anisotropic local Morrey-type spaces. Eurasian Mathematical Journal 2 (2) , pp. 5-30.

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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 Lp - 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.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Uncontrolled Keywords: anisotropic fractional maximal operator, anisotropic local and global Morrey-type spaces, supremal operator on the cone of monotonic functions
Publisher: L.N. Gumilyov Eurasian National University
ISSN: 2077-9879
Last Modified: 04 Jun 2017 08:39
URI: http://orca-mwe.cf.ac.uk/id/eprint/81992

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