Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Anisotropic Variable Herz Spaces and Applications

  • Aissa Djeriou (Laboratory of Functional Analysis and Geometry of Spaces, Faculty of Mathematics and Computer Science, University of M'sila) ;
  • Rabah Heraiz (Laboratory of Functional Analysis and Geometry of Spaces, Faculty of Mathematics and Computer Science, University of M'sila)
  • Received : 2023.10.07
  • Accepted : 2024.04.01
  • Published : 2024.06.30
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Abstract

In this study, we establish some new characterizations for a class of anisotropic Herz spaces in which all exponents are considered as variables. We also provide a description of these spaces based on bloc decomposition. As an application, we investigate the boundedness of certain sublinear operators within these function spaces.

Keywords

Acknowledgement

The authors are deeply grateful to the referees and the editors for their kind comments on improving the presentation of this paper.

References

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