2025/10/02 by David Cruz-Uribe, Cruz-Uribe, David, Arash Ghorbanalizadeh +3
Mathematics · #Advanced Harmonic Analysis Research #Mathematical Analysis and Transform Methods #Geometric and Algebraic Topology
paper · pdf · doi:10.48550/arxiv.2510.02235
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 Poincaré-type inequalities using the approach of a recent paper by the first and third authors.