A note on dyadic Hausdorff capacities
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Publication:950535
DOI10.1016/j.bulsci.2007.06.005zbMath1154.31004OpenAlexW1980864974MaRDI QIDQ950535
Publication date: 30 October 2008
Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.bulsci.2007.06.005
Capacity and harmonic measure in the complex plane (30C85) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)
Related Items (24)
Hardy-Hausdorff spaces on the Heisenberg group ⋮ Riesz potentials of Hardy-Hausdorff spaces and \(Q\)-type spaces ⋮ Hausdorff content and the Hardy-Littlewood maximal operator on metric measure spaces ⋮ Abstract dyadic cubes, maximal operators and Hausdorff content ⋮ Functional capacities on the Grushin space \({\mathbb {G}}^n_\alpha \) ⋮ Characterizations of Besov-type and Triebel-Lizorkin-type spaces via maximal functions and local means ⋮ Dual of the Choquet spaces with general Hausdorff content ⋮ The spherical maximal function on Choquet spaces ⋮ A decomposition by non-negative functions in the Sobolev Space W^{k,1} ⋮ Fourier multipliers on Triebel-Lizorkin-type spaces ⋮ On Choquet integrals and Poincaré-Sobolev inequalities ⋮ Preduals of quadratic Campanato spaces associated to operators with heat kernel bounds ⋮ The logarithmic Sobolev capacity ⋮ A new class of function spaces connecting Triebel--Lizorkin spaces and \(Q\) spaces ⋮ Morrey spaces in harmonic analysis ⋮ New characterizations of Besov-Triebel-Lizorkin-Hausdorff spaces including coorbits and wavelets ⋮ New Besov-type spaces and Triebel-Lizorkin-type spaces including \(Q\) spaces ⋮ Function spaces of Besov-type and Triebel-Lizorkin-type -- a survey ⋮ Hausdorff Besov-type and Triebel-Lizorkin-type spaces and their applications ⋮ Decompositions of Besov-Hausdorff and Triebel-Lizorkin-Hausdorff spaces and their applications ⋮ Restriction of heat equation with Newton-Sobolev data on metric measure space ⋮ Generalized Poincaré embeddings and weighted Hardy operator on spaces ⋮ Morrey-type space and its Köthe dual space ⋮ Generalized Hausdorff capacities and their applications
Cites Work
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- A theory of entropy in Fourier analysis
- Choquet integrals in potential theory
- Some new tent spaces and duality theorems for fractional Carleson measures and \(Q_{\alpha}(\mathbb R^n)\).
- Theory of capacities
- Choquet Integrals, Hausdorff Content and the Hardy-Littlewood Maximal Operator
- A Theory of Capacities for Potentials of Functions in Lebesgue Classes.
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