paper

From integral estimates of functions to uniform. I. Exact versions

arXiv:1610.03413

Abstract

We give a general method to obtain from the integral restrictions of functions sharp pointwise and uniform estimates of these functions. This scheme is illustrated by the examples for Fock\,--\,Bargmann spaces of entire functions of several variables and Bergman spaces in balls and polydiscs.

7 pages; submitted to Russian Mathematics (Izv. Vyssh. Uchebn. Zaved. Mat); in Russian