Trace inequalities for Carnot-Carathéodory spaces and applications
Donatella Danielli, Nicola Garofalo, Duy-Minh Nhieu (1998)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Displaying similar documents to “Mean value and Harnack inequalities for a certain class of degenerate parabolic equations.”
Trace inequalities for Carnot-Carathéodory spaces and applications
Poincaré inequalities and dimension free concentration of measure
Nathael Gozlan (2010)
Annales de l'I.H.P. Probabilités et statistiques
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In this paper, we consider Poincaré inequalities for non-euclidean metrics on ℝ. These inequalities enable us to derive precise dimension free concentration inequalities for product measures. This technique is appropriate for a large scope of concentration rate: between exponential and gaussian and beyond. We give equivalent functional forms of these Poincaré type inequalities in terms of transportation-cost inequalities and inf-convolution inequalities. Workable sufficient conditions...
Weighted Csiszár-Kullback-Pinsker inequalities and applications to transportation inequalities
François Bolley, Cédric Villani (2005)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Compensation couples and isoperimetric estimates for vector fields
Bruno Franchi, Richard Wheeden (1997)
Colloquium Mathematicae
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Weighted Poincaré and Sobolev inequalites for vector fields satisfying Hörmander's condition and applications.
Guozhen Lu (1992)
Revista Matemática Iberoamericana
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In this paper we mainly prove weighted Poincaré inequalities for vector fields satisfying Hörmander's condition. A crucial part here is that we are able to get a pointwise estimate for any function over any metric ball controlled by a fractional integral of certain maximal function. The Sobolev type inequalities are also derived. As applications of these weighted inequalities, we will show the local regularity of weak solutions for certain classes of strongly degenerate differential...
Embedding theorems into lipschitz and BMO spaces and applications to quasilinear subelliptic differential equations.
Guozhen Lu (1996)
Publicacions Matemàtiques
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Weighted norm inequalities relating the and the area functions
Néstor Aguilera, Carlos Segovia (1977)
Studia Mathematica
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Fundamental solution, eigenvalue asymptotics and eigenfunctions of degenerate elliptic operators with positive potentials
Kazuhiro Kurata, Satoko Sugano (2000)
Studia Mathematica
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We show a weighted version of Fefferman-Phong's inequality and apply it to give an estimate of fundamental solutions, eigenvalue asymptotics and exponential decay of eigenfunctions for certain degenerate elliptic operators of second order with positive potentials.