Capacity for potentials of functions in Musielak-Orlicz spaces
DOI10.1016/j.na.2011.06.003zbMath1238.46020OpenAlexW2044639809MaRDI QIDQ640149
Yoshihiro Mizuta, Takao Ohno, Tetsu Shimomura, Fumi-Yuki Maeda
Publication date: 17 October 2011
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2011.06.003
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)
Related Items (2)
Cites Work
- Orlicz-Sobolev capacity of balls
- Orlicz spaces and modular spaces
- Sobolev's inequalities and vanishing integrability for Riesz potentials of functions in the generalized Lebesgue space \(L^{p(\cdot)}(\log L)^{q(\cdot)}\)
- Estimates for certain Orlicz-Sobolev capacities of an Euclidean ball
- Compact embeddings in the generalized Sobolev space \(W_0^{1,p(\cdot)}(G)\) and existence of solutions for nonlinear elliptic problems
- Sobolev capacity of the space \(W^{1,p(\cdot)} (\mathbb{R}^n)\)
- Change of variables for absolutely continuous functions
- Weighted Orlicz-Riesz capacity of balls
- Approximate identities and Young type inequalities in variable Lebesgue-Orlicz spaces Lp(.)(log L)q(.)
- Sobolev embeddings for Riesz potential space of variable exponent
- Capacity estimates
- A Theory of Capacities for Potentials of Functions in Lebesgue Classes.
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