Yerel genelleştirilmiş Morrey uzaylarında Genel Hardy tipi operatörler

Abstract

General Hardy-type operators on local generalized Morrey spaces

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

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