Integral mean of Green’s potentials and their conjugate

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...

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Bibliographic Details
Main Authors: Vasyl'kiv, Ya. V., Kravec, M. Ya.
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2013-06-01
Series:Karpatsʹkì Matematičnì Publìkacìï
Subjects:
Online Access:http://journals.pu.if.ua/index.php/cmp/article/view/155/121