The geometry of Markov diffusion generators
Michel Ledoux (2000)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Michel Ledoux (2000)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Matteo Bonforte, Gabriele Grillo (2005)
Bulletin of the Polish Academy of Sciences. Mathematics
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We investigate the connection between certain logarithmic Sobolev inequalities and generalizations of Gagliardo-Nirenberg inequalities. A similar connection holds between reverse logarithmic Sobolev inequalities and a new class of reverse Gagliardo-Nirenberg inequalities.
L. Saloff-Coste (1994)
Colloquium Mathematicae
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Leszek Skrzypczak (1991)
Forum mathematicum
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Emmanuel Russ, Yannick Sire (2011)
Studia Mathematica
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Let G be a real connected Lie group with polynomial volume growth endowed with its Haar measuredx. Given a C² positive bounded integrable function M on G, we give a sufficient condition for an L² Poincaré inequality with respect to the measure M(x)dx to hold on G. We then establish a nonlocal Poincaré inequality on G with respect to M(x)dx. We also give analogous Poincaré inequalities on Riemannian manifolds and deal with the case of Hardy inequalities.
Górka, Przemysław (2008)
Journal of Inequalities and Applications [electronic only]
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Kutateladze, S.S. (2001)
Vladikavkazskiĭ Matematicheskiĭ Zhurnal
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Luigi Fontana (1993)
Commentarii mathematici Helvetici
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Radosław Adamczak (2005)
Bulletin of the Polish Academy of Sciences. Mathematics
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Andrea Cianchi, Nicola Fusco, F. Maggi, A. Pratelli (2009)
Journal of the European Mathematical Society
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Ershov, Yu.L., Kutateladze, S.S. (2009)
Sibirskij Matematicheskij Zhurnal
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Petteri Harjulehto, Peter Hästö, Mika Koskenoja, Susanna Varonen (2005)
Banach Center Publications
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In a recent article the authors showed that it is possible to define a Sobolev capacity in variable exponent Sobolev space. However, this set function was shown to be a Choquet capacity only under certain assumptions on the variable exponent. In this article we relax these assumptions.
Toni Heikkinen, Pekka Koskela, Heli Tuominen (2007)
Studia Mathematica
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We define a Sobolev space by means of a generalized Poincaré inequality and relate it to a corresponding space based on upper gradients.
V. M. Tikhomirov (1989)
Banach Center Publications
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Deane Yang (1987-1988)
Séminaire de théorie spectrale et géométrie
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Philip S. Crooke (1978)
Colloquium Mathematicae
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