Generalized H\"older's inequality on Morrey spaces
Ifronika, Mochammad Idris, Al Azhary Masta, and Hendra Gunawan

TL;DR
This paper establishes necessary and sufficient conditions for generalized H"older's inequality to hold on Morrey and weak Morrey spaces, expanding understanding of inequalities in these function spaces.
Contribution
It provides a complete characterization of when generalized H"older's inequality applies on Morrey and weak Morrey spaces, including necessary and sufficient conditions.
Findings
Characterization of conditions for generalized H"older's inequality on Morrey spaces
Extension of results to weak and generalized weak Morrey spaces
Use of characteristic function estimates in proofs
Abstract
The aim of this paper is to present necessary and sufficient conditions for generalized H\"{o}lder's inequality on generalized Morrey spaces. We also obtain similar results on weak Morrey spaces and on generalized weak Morrey spaces. The necessary and sufficient conditions for the generalized H\"{o}lder's inequality on these spaces are obtained through estimates for characteristic functions of balls in .
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Advanced Banach Space Theory · Mathematical Analysis and Transform Methods
