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• W2069452833 abstract "In 1972 the author proved the so-called conductor and capacitary inequalities for the Dirichlet-type integrals of a function on a Euclidean domain. Both were used to derive necessary and sufficient conditions for Sobolev-type inequalities involving arbitrary domains and measures. The present article contains new conductor inequalities for nonnegative functionals acting on functions defined on topological spaces. Sharp capacitary inequalities, stronger than the classical Sobolev inequality, with the best constant and the sharp form of the Yudovich inequality (Soviet Math. Dokl. 2 (1961) 746) due to Moser (Indiana Math. J. 20 (1971) 1077) are found." @default.
• W2069452833 created "2016-06-24" @default.
• W2069452833 creator A5036028881 @default.
• W2069452833 date "2005-07-01" @default.
• W2069452833 modified "2023-10-16" @default.
• W2069452833 title "Conductor and capacitary inequalities for functions on topological spaces and their applications to Sobolev-type imbeddings" @default.
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• W2069452833 doi "https://doi.org/10.1016/j.jfa.2004.09.009" @default.
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