Self-improving properties for abstract Poincaré type inequalities

DOI10.1090/S0002-9947-2014-06315-0zbMath1338.46041arXiv1107.2260MaRDI QIDQ5247019

Frédéric Bernicot, José Maria Martell

Publication date: 22 April 2015

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.2260

zbMATH Keywords

weightssemigroupsgood-\(\lambda\) inequalitiesJohn-Nirenberg inequalitiesdyadic cubesself-improving propertiespseudo-Poincaré inequalitiesBMO and Lipschitz spacesgeneralized Poincaré-Sobolev 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) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

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