The Stein-Weiss inequality in variable exponent Morrey spaces
Classical Analysis and ODEs
2026-01-06 v2
Abstract
In this paper we prove the Stein-Weiss inequality in variable exponent Morrey spaces over a bounded domain. Our work extends earlier results in the variable exponent Lebesgue and Morrey settings, and utilizes new proof techniques applicable to Morrey spaces. We build on the foundational paper by Almeida, Hasanov, and Samko, which introduced Morrey spaces of variable exponents. As an application of our main result, we prove Poincar\'e-type inequalities using the approach of a recent paper by the first and third authors.
Keywords
Cite
@article{arxiv.2510.02235,
title = {The Stein-Weiss inequality in variable exponent Morrey spaces},
author = {David Cruz-Uribe and Arash Ghorbanalizadeh and Durvudkhan Suragan},
journal= {arXiv preprint arXiv:2510.02235},
year = {2026}
}
Comments
Corrected some minor mistakes in proofs; all results remain the same