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


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Authors

  • Ali Akbulut
  • Ismail Ekincioglu
  • Ayhan Serbetci
  • Tamara Tararykova

Keywords:

anisotropic fractional maximal operator, anisotropic local and global Morrey-type spaces, supremal operator on the cone of monotonic functions

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.

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Published

2010-03-10

How to Cite

Akbulut, A., Ekincioglu, I., Serbetci, A., & Tararykova, T. (2010). Boundedness of the anisotropic fractional maximal operator in anisotropic local Morrey-type spaces. Eurasian Mathematical Journal, 2(2). Retrieved from https://emj.enu.kz/index.php/main/article/view/78

Issue

Vol. 2 No. 2 (2011)

Section

Articles