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Specific necessary and sufficient conditions govern the inclusion properties and the generalized Hölder's inequality within generalized weighted Morrey spaces and generalized weighted weak Morrey spaces. Novelty: ClaimNovelty.INCREMENTAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

What question did this study set out to answer?

The aim is to explore the structure of generalized weighted Morrey spaces and their inclusion properties along with the generalized Holder's inequality.

March 21, 2026PRSM0 citationsOpen Access

Inclusions and Generalized H\"older's Inequality in Generalized Weighted Morrey Spaces

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YRYusuf RamadanaBandung Institute of Technology

Key Points

The aim is to explore the structure of generalized weighted Morrey spaces and their inclusion properties along with the generalized Holder's inequality.
Analyzed inclusion properties within generalized weighted Morrey spaces.
Investigated generalized Holder's inequality and its applicability in these spaces.
Established necessary and sufficient conditions for both inclusion properties and Holder's inequality.
Identified key conditions for inclusion properties of generalized weighted Morrey spaces.
Provided necessary and sufficient conditions for the generalized Holder's inequality within these spaces.

Abstract

This paper discusses the structure of generalized weighted Morrey spaces and generalized weighted weak Morrey spaces particularly the inclusion properties and generalized H\"older's inequality in the spaces. Some necessary and sufficient conditions for the inclusion properties of the spaces are obtained. Some necessary and sufficient conditions for the generalized H\"older's inequality in the spaces are also obtained.

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Inclusions and Generalized H\"older's Inequality in Generalized Weighted Morrey Spaces

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