General Hardy-type operators on local generalized Morrey spaces

Year 2025, Volume: 8 Issue: 1, 1 - 14

Kwok-pun Ho , Tat-leung Yee

https://doi.org/10.33205/cma.1531860

Abstract

This paper extends the mapping properties of the general Hardy-type operators to local Morrey spaces built on ball quasi-Banach function spaces. As applications of the main result, we establish the two weight norm inequalities of the Hardy operators to the local Morrey spaces, the mapping properties of the Riemann-Liouville integrals on local Morrey spaces built on rearrangement-invariant quasi-Banach function spaces, the Hardy inequalities on the local Morrey spaces with variable exponents.

Keywords

General Hardy-type operators, Hardy inequality, Riemann-Liouville integrals, local generalized Morrey spaces, ball Banach function spaces, rearrangement-invariant, variable exponents

Yerel genelleştirilmiş Morrey uzaylarında Genel Hardy tipi operatörler

Abstract

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