The best constant in the Khintchine inequality for complex Steinhaus variables, the case p=1

Jerzy Sawa

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Displaying similar documents to “The best constant in the Khintchine inequality for complex Steinhaus variables, the case p=1”

New variants of Khintchine's inequality.

Ioan Serb (2001)

Collectanea Mathematica

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Variants of Khintchine's inequality with coefficients depending on the vector dimension are proved. Equality is attained for different types of extremal vectors. The Schur convexity of certain attached functions and direct estimates in terms of the Haagerup type of functions are also used.

Balls defined by nonsmooth vector fields and the Poincaré inequality

Annamaria Montanari, Daniele Morbidelli (2004)

Annales de l’institut Fourier

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We provide a structure theorem for Carnot-Carathéodory balls defined by a family of Lipschitz continuous vector fields. From this result a proof of Poincaré inequality follows.