A Characterization of Boundedness of Fractional Maximal Operator with Variable Kernel on Herz-Morrey Spaces
2020-07-01 09:22:28LutfiAkin
Lutfi Akin
Department of Business Administration,Mardin Artuklu University,Mardin,Turkey
Abstract. A significant number of studies have been carried out on the generalized Lebesgue spaces Lp(x), Sobolev spaces W1,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.
Key Words: Variable exponent,herz space,operator theory.
1 Introduction
2 Auxiliary statements and assertions
3 Main result
Proof of Theorem 3.1 was completed.
4 Conclusions
We obtained the boundedness of fractional maximal operator with variable kernel on the Herz-Morrey spaces by a new method.
Acknowledgements
Author thanks referee for his/her valuable suggestion remarks regarding the manuscript.
Analysis in Theory and Applications2020年1期
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