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. |
Official URL: http://www.mathnet.ru/php/archive.phtml?wshow=pape...
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 |
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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: | https://orca.cardiff.ac.uk/id/eprint/81992 |
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