2019
Том 71
№ 9

# Exact constants in inequalities for the Taylor coefficients of bounded holomorphic functions in a polydisc

Abstract

We determine the exact constants $L_{m,n}(X)$ in the inequalities of the form $|\hat f(m)|\leq L_{m,n}(X)(1 − |\hat f(n)|)$ for the pairs of Taylor coefficients  $\hat f(m)$ and  $\hat f(n)$ on some classes $X$ of bounded holomorphic functions in a polydisc.

Citation Example: Meremelya I. Yu., Savchuk V. V. Exact constants in inequalities for the Taylor coefficients of bounded holomorphic functions in a polydisc // Ukr. Mat. Zh. - 2015. - 67, № 12. - pp. 1690-1697.

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