TY - JOUR
AU - Vasyl'kiv, Ya.V.
AU - Kravec, M.Ya.
PY - 2013/06/17
Y2 - 2024/03/05
TI - Integral mean of Greenâ€™s potentials and their conjugate
JF - Carpathian Mathematical Publications
JA - Carpathian Math. Publ.
VL - 5
IS - 1
SE - Scientific articles
DO - 10.15330/cmp.5.1.19-29
UR - https://journals.pnu.edu.ua/index.php/cmp/article/view/3645
SP - 19-29
AB - The best possible estimates for Lebesgue integral means $m_q(r,F)\; (1\le q<+\infty)$ for the pair of functions $F= g+i\:\breve{g}$, here $g$ - Green's potential, $\breve{g}$ - function conjugate to $g$, was obtained. It generalizes well-known results of Ya.V. Vasyl'kiv and A.A. Kondratyuk for logarithms $\log\; B$ of Blaschke products $B$ in terms of counting function $n(r,0,B)\; (0<r<1)$ of their zeroes.
ER -