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Volume 36, Issue 1
A Characterization of Boundedness of Fractional Maximal Operator with Variable Kernel on Herz-Morrey Spaces

Lutfi Akin

Anal. Theory Appl., 36 (2020), pp. 60-68.

Published online: 2020-05

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  • 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.

  • AMS Subject Headings

42B25, 42B35, 47B38

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

lutfiakin@artuklu.edu.tr (Lutfi Akin)

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  • RIS
  • TXT
@Article{ATA-36-60, author = {Akin , Lutfi}, title = {A Characterization of Boundedness of Fractional Maximal Operator with Variable Kernel on Herz-Morrey Spaces}, journal = {Analysis in Theory and Applications}, year = {2020}, volume = {36}, number = {1}, pages = {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.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.OA-2018-1006}, url = {http://global-sci.org/intro/article_detail/ata/16914.html} }
TY - JOUR T1 - A Characterization of Boundedness of Fractional Maximal Operator with Variable Kernel on Herz-Morrey Spaces AU - Akin , Lutfi JO - Analysis in Theory and Applications VL - 1 SP - 60 EP - 68 PY - 2020 DA - 2020/05 SN - 36 DO - http://doi.org/10.4208/ata.OA-2018-1006 UR - https://global-sci.org/intro/article_detail/ata/16914.html KW - Variable exponent, herz space, operator theory. AB -

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.

Lutfi Akin. (2020). A Characterization of Boundedness of Fractional Maximal Operator with Variable Kernel on Herz-Morrey Spaces. Analysis in Theory and Applications. 36 (1). 60-68. doi:10.4208/ata.OA-2018-1006
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