Morrey capacity and vanishing integrability for Riesz potentials in Morrey-Orlicz spaces
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Publication:6670908
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)
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
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- 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
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