Some new Hardy type inequalities and their limiting inequalities.
Wedestig, Anna (2003)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Displaying similar documents to “Exponential inequalities for a class of operators.”
Some new Hardy type inequalities and their limiting inequalities.
A two-scale approach to logarithmic Sobolev inequalities and the hydrodynamic limit
Natalie Grunewald, Felix Otto, Cédric Villani, Maria G. Westdickenberg (2009)
Annales de l'I.H.P. Probabilités et statistiques
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We consider the coarse-graining of a lattice system with continuous spin variable. In the first part, two abstract results are established: sufficient conditions for a logarithmic Sobolev inequality with constants independent of the dimension (Theorem 3) and sufficient conditions for convergence to the hydrodynamic limit (Theorem 8). In the second part, we use the abstract results to treat a specific example, namely the Kawasaki dynamics with Ginzburg–Landau-type potential.
Cauchy means of the Popoviciu type.
Anwar, Matloob, Latif, Naveed, Pečarić, J. (2009)
Journal of Inequalities and Applications [electronic only]
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Stability of global solutions to one-phase Stefan problem for a semilinear parabolic equation
Toyohiko Aiki, Hitoshi Imai (2000)
Czechoslovak Mathematical Journal
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Weighted inequalities for the Sawyer two-dimensional Hardy operator and its limiting geometric mean operator.
Wedestig, Anna (2005)
Journal of Inequalities and Applications [electronic only]
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A potential theoretic inequality
Maria Alessandra Ragusa, Pietro Zamboni (2001)
Czechoslovak Mathematical Journal
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In this paper is proved a weighted inequality for Riesz potential similar to the classical one by D. Adams. Here the gain of integrability is not always algebraic, as in the classical case, but depends on the growth properties of a certain function measuring some local potential of the weight.