Integral mean of Green’s potentials and their conjugate

Karpatsʹkì Matematičnì Publìkacìï

关键词: Green's potentials;    conjugate function;    Lebesgue integral means;    distribution of values of subharmonic functions;   

DOI  :  

来源: DOAJ

【 摘 要 】

The best possible estimates for Lebesgue integral means $m_q(r,F); (1le q <+infty)$ for the pair of functions $F= g+i:reve{g}$, here $g$ --- Green's potential, $reve{g}$ --- 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

【 授权许可】

Unknown