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

2016/10/11 by Rustam Baladai, Baladai, Rustam, Б. Н. Хабибуллин +1
Mathematics · #26D20 #28A25 #30H20 #32A10 #32A22 #32A36 #Algebraic and Geometric Analysis #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Meromorphic and Entire Functions

paper · pdf · doi:10.48550/arxiv.1610.03413

openalex publication_date 2016/10/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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