A Characterization of Boundedness of Fractional Maximal Operator with Variable Kernel on Herz-Morrey Spaces

A Characterization of Boundedness of Fractional Maximal Operator with Variable Kernel on Herz-Morrey Spaces

Year:    2020

Author:    Lutfi Akin

Analysis in Theory and Applications, Vol. 36 (2020), Iss. 1 : pp. 60–68

Abstract

A significant number of studies have been carried out on the generalized Lebesgue spaces $L^{p(x)}$, Sobolev spaces $W^{1,p(x)}$ and Herz spaces. In this paper, we demonstrated a characterization of boundedness of the fractional maximal operator with variable kernel on Herz-Morrey spaces.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/ata.OA-2018-1006

Analysis in Theory and Applications, Vol. 36 (2020), Iss. 1 : pp. 60–68

Published online:    2020-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    9

Keywords:    Variable exponent herz space operator theory.

Author Details

Lutfi Akin

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