Capacitary function spaces

DOI10.1007/s13348-010-0031-7zbMath1225.46021OpenAlexW1970035899MaRDI QIDQ2430588

Pilar Silvestre, Joaquim Martín, Joan L. Cerda

Publication date: 8 April 2011

Published in: Collectanea Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13348-010-0031-7

zbMATH Keywords

interpolationcapacityHölder's inequalityLorentz spacesMinkowski's inequalitynon-increasing rearrangements

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) Contents, measures, outer measures, capacities (28A12) Interpolation between normed linear spaces (46B70) Abstract interpolation of topological vector spaces (46M35)

Related Items (16)

The Riesz-Herz equivalence for capacitary maximal functions ⋮ On Carlson's inequality for Sugeno and Choquet integrals ⋮ Quantitative estimates in \(L^{p}\)-approximation by Bernstein-Durrmeyer-Choquet operators with respect to distorted Borel measures ⋮ Choosing Function Spaces in Harmonic Analysis ⋮ Choquet type \(L^{1}\)-spaces of a vector capacity ⋮ Abstract capacitary estimates and the completeness and separability of certain classes of non-locally convex topological vector spaces ⋮ Quantitative Estimates for $L^p$-Approximation by Bernstein-Kantorovich-Choquet Polynomials with Respect to Distorted Lebesgue Measures ⋮ Capacities and embeddings via symmetrization and conductor inequalities ⋮ Weighted Hardy inequalities, real interpolation methods and vector measures ⋮ Volterra-Choquet nonlinear operators ⋮ A note on real interpolation of \(L^p\)-spaces of vector measures on \(\delta\)-rings ⋮ Unnamed Item ⋮ A note on the Choquet type operators ⋮ Volterra-Choquet integral equations ⋮ Vector valued information measures and integration with respect to fuzzy vector capacities ⋮ Fredholm-Choquet integral equations

Cites Work

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• The Riesz-Herz equivalence for capacitary maximal functions
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• A theory of entropy in Fourier analysis
• Choquet integrals in potential theory
• A decreasing rearrangement for functions on homogeneous trees
• Entropy function spaces and interpolation
• Interpolation of several Banach spaces
• Rearrangement transformations on general measure spaces
• Weighted Lorentz spaces and the Hardy operator
• On the theory of potentials in locally compact spaces
• Theory of capacities
• Lions–Peetre reiteration formulas for triples and their applications
• Recent developments in the theory of Lorentz spaces and weighted inequalities
• A Theory of Capacities for Potentials of Functions in Lebesgue Classes.

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