Self-improvement of Poincaré type inequalities associated with approximations of the identity and semigroups

DOI10.1007/s11118-012-9298-5zbMath1276.46025OpenAlexW2077363069MaRDI QIDQ1949213

Ana Jiménez-del-Toro, José Maria Martell

Publication date: 6 May 2013

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11118-012-9298-5

zbMATH Keywords

weightssemigroupsgood-\(\lambda\) inequalitiesheat kernelsdyadic cubesself-improving propertiesgeneralized Hardy inequalitiesgeneralized Poincaré-Sobolev inequalitypseudo-Poincaré inequalities

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) Maximal functions, Littlewood-Paley theory (42B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) One-parameter semigroups and linear evolution equations (47D06)

Related Items

John-Nirenberg inequalities and weight invariant BMO spaces, Bilinear Sobolev-Poincaré inequalities and Leibniz-type rules, Exponential self-improvement of generalized Poincaré inequalities associated with approximations of the identity and semigroups, Musielak–Orlicz Hardy Spaces Associated with Divergence Form Elliptic Operators Without Weight Assumptions, Self-improving properties for abstract Poincaré type inequalities

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