Morrey capacity and vanishing integrability for Riesz potentials in Morrey-Orlicz spaces

DOI10.1215/00192082-11621742MaRDI QIDQ6670908

Yoshihiro Mizuta, Tetsu Shimomura

Publication date: 24 January 2025

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Riesz potentialsMorrey-Orlicz spaces

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Orlicz-Sobolev capacity of balls
• Capacity for potentials of functions in Musielak-Orlicz spaces
• Continuity properties of Riesz potentials of Orlicz functions
• Vanishing exponential integrability for Riesz potentials of functions in Orlicz classes
• Estimates for certain Orlicz-Sobolev capacities of an Euclidean ball
• Continuity properties of potentials
• Continuity properties of potentials and Beppo-Levi-Deny functions
• Vanishing exponential integrability for functions whose gradients belong to \(L^n(\log(e+L))^{\alpha}\)
• Weighted Orlicz-Riesz capacity of balls
• Approximate identities and Young type inequalities in variable Lebesgue-Orlicz spaces Lp(.)(log L)q(.)
• Weakly Differentiable Functions
• Capacity estimates
• Integrability of maximal functions for generalized Lebesgue spaces with variable exponent
• A Theory of Capacities for Potentials of Functions in Lebesgue Classes.
• Nonlinear potential analysis on Morrey spaces and their capacities
• Vanishing exponential integrability for Riesz potentials in Morrey–Orlicz spaces
• Vanishing Morrey integrability for Riesz potentials in Morrey-Orlicz spaces

This page was built for publication: Morrey capacity and vanishing integrability for Riesz potentials in Morrey-Orlicz spaces

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6670908)