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A Stein–Weiss inequality with nonstandard power weights and applications

Author(s): Almeida, Alexandre ; Cruz-Uribe, David ; Rafeiro, Humberto

Date: 2026

Persistent ID: http://hdl.handle.net/10773/47858

Origin: RIA - Repositório Institucional da Universidade de Aveiro

Subject(s): Stein–Weiss inequality; Hardy–Leray inequality; Rellich inequality; Hardy–Sobolev inequality; Gagliardo–Nirenberg inequality; Variable Lebesgue spaces; Weighted inequalities; Nonstandard growth; Neumann problems; Degenerate elliptic PDEs

Description

In this paper, we prove a generalization of the Stein–Weiss inequality for the fractional integral operator in variable Lebesgue spaces with nonstandard power weights of the form $w(x) = |x|^{\gamma(x)}$. As applications, we prove Hardy–Sobolev and related inequalities with these weights.

Document Type Journal article
Language English

Document details

A Stein–Weiss inequality with nonstandard power weights and applications

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