Year: 2026
Type: article
Abstract: In this paper, we introduce Hardy-amalgam spaces with variable exponents $\mathcal{H}^{p(\cdot), q}$ via maximal functions and consider some of their properties. The main motivation for the paper is an atomic decomposition of these spaces. It is known that atomic decomposition gives a method for dealing with restriction and extension phenomena for hyperplanes. In this regard, we give the definition of atoms in the variable exponent sense and investigate two important inequalities in Hardy-amalgam spaces. Finally, the theoretical ideas introduced throughout the paper are applied in the last section. The application is based on the boundedness of the Hardy operator, which is useful in harmonic analysis, from Hardy-amalgam spaces with variable exponents to amalgam spaces with variable exponents.
Authors: Cihan Unal, Lassane Traore
Institutions: Université Pelefero Gon Coulibaly, Sinop University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W7166387407