Atomic decomposition of anisotropic Herz-Amalgam spaces and boundedness of sublinear operators

Mehvish Sultan; Amjad Husssain; Babar Sultan; Tariq Mahmood

Atomic decomposition of anisotropic Herz-Amalgam spaces and boundedness of sublinear operators

Functional Analysis 2026-06-09 v1

Authors: Mehvish Sultan , Amjad Husssain , Babar Sultan , Tariq Mahmood

Abstract

In this work, we introduce the idea of anisotropic Herz-Amalgam spaces. Then we find the atomic decomposition in these spaces. As an application, in these spaces, we demonstrate the boundedness of certain sublinear operators.

Keywords

anisotropic Herz-Amalgam spaces atomic decomposition sublinear operators boundedness function spaces

Cite

@article{arxiv.2607.01260,
  title  = {Atomic decomposition of anisotropic Herz-Amalgam spaces and boundedness of sublinear operators},
  author = {Mehvish Sultan and Amjad Husssain and Babar Sultan and Tariq Mahmood},
  journal= {arXiv preprint arXiv:2607.01260},
  year   = {2026}
}