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Displaying 6701 – 6720 of 13227

On fine properties of mixtures with respect to concentration of measure and Sobolev type inequalities

Djalil Chafaï, Florent Malrieu (2010)

Annales de l'I.H.P. Probabilités et statistiques

Mixtures are convex combinations of laws. Despite this simple definition, a mixture can be far more subtle than its mixed components. For instance, mixing gaussian laws may produce a potential with multiple deep wells. We study in the present work fine properties of mixtures with respect to concentration of measure and Sobolev type functional inequalities. We provide sharp Laplace bounds for Lipschitz functions in the case of generic mixtures, involving a transportation cost diameter of the mixed...

On finite dimensional subspaces of Banach spaces with local unconditional structure

William Johnson (1974)

Studia Mathematica

On finitely generated closed ideals in $H^{\infty} (D)$

Jean Bourgain (1985)

Annales de l'institut Fourier

Assume $f_{1}, ..., f_{N}$ a finite set of functions in $H^{\infty} (D)$ , the space of bounded analytic functions on the open unit disc. We give a sufficient condition on a function $f$ in $H^{\infty} (D)$ to belong to the norm-closure of the ideal $I (f_{1}, ..., f_{N})$ generated by $f_{1}, ..., f_{N}$ , namely the property $| f (z) | \leq α (| f_{1} (z) | + ... + | f_{N} (z) |) for z \in D$ for some function $α$ : $R_{+} \to R_{+}$ satisfying ${lim}_{t \to 0} α (t) / t = 0 .$ The main feature in the proof is an improvement in the contour-construction appearing in L. Carleson’s solution of the corona-problem. It is also shown that the property $| f (z) | \leq C max_{1 \leq j \leq N} | f_{j} (z) | for z \in D$ for some constant $C$ , does not necessary imply that $f$ is...

On Fixed Point Theorems of Maia Type

Bogdan Rzepecki (1980)

Publications de l'Institut Mathématique

On flatness and some ergodic properties of Banach spaces

Pach, A. J. (1981)

Abstracta. 9th Winter School on Abstract Analysis

On formal trigonometrical series

Z. Zieleźny (1964)

Studia Mathematica

On Fourier coefficients and factorable operators.

Faragallah, M., Elshobaky, E. (2002)

Southwest Journal of Pure and Applied Mathematics [electronic only]

On Fourier series in eigenfunctions of elliptic boundary value problems.

Agranovich, M.S., Amosov, B.A. (2003)

Georgian Mathematical Journal

On Fourier transforms of distributions with one-sided bounded carriers

Z. Zieleźny (1964)

Studia Mathematica

On Fréchet differentiability of convex functions on Banach spaces

Wee-Kee Tang (1995)

Commentationes Mathematicae Universitatis Carolinae

Equivalent conditions for the separability of the range of the subdifferential of a given convex Lipschitz function $f$ defined on a separable Banach space are studied. The conditions are in terms of a majorization of $f$ by a $C^{1}$ -smooth function, separability of the boundary for $f$ or an approximation of $f$ by Fréchet smooth convex functions.