A new result on boundedness of the Riesz potential in central Morrey-Orlicz spaces
Evgeniya Burtseva, Lech Maligranda
TL;DR
This paper advances the understanding of the Riesz potential's boundedness within central Morrey-Orlicz spaces, introducing new properties and extending previous results to weak-type scenarios.
Contribution
It provides improved boundedness results for the Riesz potential in central Morrey-Orlicz spaces and introduces two new properties of these spaces.
Findings
Enhanced boundedness results for Riesz potential
Introduction of nontriviality and inclusion properties
Extension to weak-type boundedness
Abstract
We improve our results on boundedness of the Riesz potential in the central Morrey-Orlicz spaces and the corresponding weak-type version. We also present two new properties of the central Morrey-Orlicz spaces: nontriviality and inclusion property.
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Advanced Mathematical Physics Problems · Nonlinear Partial Differential Equations