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General Hardy-type operators on local generalized Morrey spaces
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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.
Constructive Mathematical Analysis
Title: General Hardy-type operators on local generalized Morrey spaces
Description:
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.
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