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From Sobolev inequality to doubling (Q5264181)

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scientific article; zbMATH DE number 6460541

Language	Label	Description	Also known as
English	From Sobolev inequality to doubling	scientific article; zbMATH DE number 6460541

Statements

scholarly article

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From Sobolev inequality to doubling (English)

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Lyudmila Korobenko

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Diego Maldonado

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Proceedings of the American Mathematical Society

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publication date

20 July 2015

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full work available at URL

https://arxiv.org/abs/1312.0277

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zbMATH Keywords

Sobolev inequality

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Moser iteration

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subunit metric spaces

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doubling condition

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MaRDI profile type

MaRDI publication profile

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On the equivalence of parabolic Harnack inequalities and heat kernel estimates

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A Saint-Venant type principle for Dirichlet forms on discontinuous media

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Sobolev and isoperimetric inequalities for Dirichlet forms on homogeneous spaces

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Nonlinear potential theory on metric spaces

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Moser iteration for (quasi)minimizers on metric spaces

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First order Poincaré inequalities in metric measure spaces

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The local regularity of solutions of degenerate elliptic equations

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Self-improving properties of John-Nirenberg and Poincaré inequalities on spaces of homogeneous type

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Dirichlet forms and symmetric Markov processes.

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THE HEAT EQUATION ON NONCOMPACT RIEMANNIAN MANIFOLDS

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Sobolev spaces on an arbitrary metric space

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Sobolev met Poincaré

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Weighted Sobolev and Poincaré Inequalities and Quasiregular Mappings of Polynomial Type.

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Volume doubling measures and heat kernel estimates on self-similar sets

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Constructing a Laplacian on the Diamond Fractal

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Regularity of quasi-minimizers on metric spaces

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Dirichlet forms, Poincaré inequalities, and the Sobolev spaces of Korevaar and Schoen

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Heat kernel estimates and parabolic Harnack inequalities on graphs and resistance forms

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Functional calculus for Dirichlet forms

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Sobolev spaces, Laplacian, and heat kernel on Alexandrov spaces

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On the Harnack inequality for parabolic minimizers in metric measure spaces

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Boundedness of weak solutions of degenerate quasilinear equations with rough coefficients.

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Hölder continuity of weak solutions to subelliptic equations with rough coefficients

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Degenerate Sobolev spaces and regularity of subelliptic equations

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Newtonian spaces: An extension of Sobolev spaces to metric measure spaces

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Analysis on local Dirichlet spaces. I. Recurrence, conservativeness and Lp-Liouville properties.

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Analysis on local Dirichlet spaces. II: Upper Gaussian estimates for the fundamental solutions of parabolic equations

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Analysis on local Dirichlet spaces. III: The parabolic Harnack inequality

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Identifiers

zbMATH Open document ID

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10.1090/S0002-9939-2015-12556-7

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5264181

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