Sharp estimates of the growth of the Poisson-Stieltjes integral in the polydisc

I.E.Chyzhykov; O.A.Zolota

1. Rudin W. Function theory in polydiscs. -- New York-Amsterdam: Math. Lecture Note Series, 1969. -- 162~p.

2. Chyzhykov I. E., Zolota O. A. Growth of the Poisson-Stieltjes integral in the polydisc// J. Math. Phys. Analysis, Geometry (to appear).

3. Kotilainen M., Latvala V., Rattya J. Carleson measure and conformal self-mappings in the real unit ball// Math. Nachr. -- 2008. -- V.281, №.11. -- P. 1582--1589.

4. Будагов А.А. Модули непрерывности равномерных перестановок. -- Дис ... канд. физ.-мат. наук, Одесса, 1992. -- 100 с.

	Sharp estimates of the growth of the Poisson-Stieltjes integral in the polydisc
Author	I.E.Chyzhykov, O.A.Zolota ichyzh@lviv.farlep.net, o.zolota@gmail.com Faculty of Mechanics and Mathematics, Lviv Ivan Franko National University, Institute of Physics, Mathematics and Computer Science, Drohobych Ivan Franko State Pedagogical University
Abstract	We obtain sharp estimates of the growth of the Poisson-Stieltjes integral in the polydisc in terms of the Stieltjes measure $\mu$.
Keywords	sharp growth estimates, Poisson-Stieltjes integral, polydisc
DOI	doi:10.30970/ms.34.2.193-196
Reference	1. Rudin W. Function theory in polydiscs. -- New York-Amsterdam: Math. Lecture Note Series, 1969. -- 162~p. 2. Chyzhykov I. E., Zolota O. A. Growth of the Poisson-Stieltjes integral in the polydisc// J. Math. Phys. Analysis, Geometry (to appear). 3. Kotilainen M., Latvala V., Rattya J. Carleson measure and conformal self-mappings in the real unit ball// Math. Nachr. -- 2008. -- V.281, №.11. -- P. 1582--1589. 4. Будагов А.А. Модули непрерывности равномерных перестановок. -- Дис ... канд. физ.-мат. наук, Одесса, 1992. -- 100 с.
Pages	193-196
Volume	34
Issue	2
Year	2010
Journal	Matematychni Studii
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Table of content of issue	html