The Distribution of Values of Analytic Functions on Convex Sets

Abstract

Proceeding the study of local properties of analytic functions started in [Br] we prove new dimensionless inequalities for such functions in terms of their Chebyshev degree. As a consequence we obtain the reverse Hölder inequalities for analytic functions with absolute (i.e., independent of dimension) constants. For polynomials such inequalities were… (More)

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Cite this paper

@inproceedings{Brudnyi2000TheDO, title={The Distribution of Values of Analytic Functions on Convex Sets}, author={Alexander Brudnyi}, year={2000} }