Boundedness of Some Hilbert–Type Operators on the Weighted Morrey–Herz Spaces

Authors

  • Tserendorj Batbold Department of Mathematics, National University of Mongolia, Ulaanbaatar, Mongolia
  • Amarsaikhan Amarbayar National University of Mongolia, Ulaanbaatar, Mongolia
  • Mario Krni´c Faculty of Electrical Engineering and Computing, University of Zagreb, Unska 3, 10000 Zagreb, Croatia

DOI:

https://doi.org/10.5564/mmj.v26i24.3003

Keywords:

Hilbert-type operator, Hardy operator, Hardy-Littlewood-P´olya operator, Morrey-Herz space

Abstract

In this paper we establish necessary and sufficient conditions for the boundedness of a general Hilbert-type operator on the weighted Morrey-Herz spaces, without imposing conditions on a homogeneous kernel. As an application, some particular cases are also considered. Our results are compared with some previously known from the literature.

Abstract
224
PDF 108

Downloads

Published

2023-08-31

How to Cite

Batbold, T., Amarbayar, A., & Krni´c, M. (2023). Boundedness of Some Hilbert–Type Operators on the Weighted Morrey–Herz Spaces. Mongolian Mathematical Journal, 26(24), 30–40. https://doi.org/10.5564/mmj.v26i24.3003

Issue

No. 24 (2023)

Section

Articles

License

Copyright (c) 2023 Tserendorj Batbold, Amarsaikhan Amarbayar, Mario Krni´c

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

Copyright on any research article in the Mongolian Mathematical Journal is retained by the author(s).

The authors grant the Mongolian Mathematical Journal a license to publish the article and identify itself as the original publisher.


Articles in the Mongolian Mathematical Journal are Open Access articles published under a Creative Commons Attribution NonCommercial (CC-BY-NC)

This license permits use, distribution and reproduction in any medium, provided the original work is properly cited,  does not allow for commercial use of the original work.