2019
Том 71
№ 1

Meremelya I. Yu.

Articles: 1
Article (Ukrainian)

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

Ukr. Mat. Zh. - 2015. - 67, № 12. - pp. 1690-1697

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.