On a maximum principle in potential theory
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Dagmar Medková (1982)
Časopis pro pěstování matematiky
K.-M. Chong (1979)
Publications de l'Institut Mathématique [Elektronische Ressource]
Hans Joachim Lakeit (1975)
Mathematische Annalen
Costley, Charles G. (1972)
Portugaliae mathematica
Markova, Andrea, Riečan, Beloslav (1996)
Novi Sad Journal of Mathematics
R. Latała, J. O. Wojtaszczyk (2008)
Studia Mathematica
We study the infimum convolution inequalities. Such an inequality was first introduced by B. Maurey to give the optimal concentration of measure behaviour for the product exponential measure. We show how IC inequalities are tied to concentration and study the optimal cost functions for an arbitrary probability measure μ. In particular, we prove an optimal IC inequality for product log-concave measures and for uniform measures on the balls. Such an optimal inequality implies, for a given measure,...
König, Heinz (2000)
Documenta Mathematica
Richard Datko (1973)
Fundamenta Mathematicae
Beloslav Riečan (2013)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
I. Kluvánek suggested to built the Lebesgue integral on a compact interval in the real line by the help of the length of intervals only. In the paper a modification of the Kluvánek construction is presented applicable to abstract spaces, too.
Hugo Aimar (1985)
Studia Mathematica
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