On the boundedness of the anisotropic fractional maximal operator from anisotropic complementary Morrey-type spaces to anisotropic Morrey-type spaces


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Authors

  • Ali Akbulut
  • Vagif Guliyev
  • Sh.A. Muradova

Keywords:

anisotropic fractional maximal operator, anisotropic local Morrey-type spaces, anisotropic complementary Morrey-type spaces, dual Hardy operator

Abstract

The problem of the boundedness of the anisotropic fractional maximal operator Mdα from anisotropic complementary Morrey-type spaces to anisotropic Morrey-type spaces is reduced to the problem of boundedness of the dual Hardy operator in weighted Lp-spaces on the cone of non-negative non-increasing functions, which allows obtaining sharp sufficient conditions for the boundedness of Mdα.

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Published

2013-03-30

How to Cite

Akbulut, A., Guliyev, V., & Muradova, S. (2013). On the boundedness of the anisotropic fractional maximal operator from anisotropic complementary Morrey-type spaces to anisotropic Morrey-type spaces. Eurasian Mathematical Journal, 4(1), 7–20. Retrieved from https://emj.enu.kz/index.php/main/article/view/496

Issue

Vol. 4 No. 1 (2013)

Section

Articles