arXiv 1610.034132016-10math.CV

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

Rustam Baladai, Bulat Khabibullin

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

英文摘要：

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.

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