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Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2011, Volume 7, Number 2, Pages 141–157
(Mi jmag509)
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This article is cited in 4 scientific papers (total in 4 papers)
Growth of the Poisson–Stieltjes integral in a polydisc
I. Chyzhykova, O. Zolotab a Faculty of Mechanics and Mathematics, Lviv Ivan Franko National University, 1, Universytetska Str., Lviv, 79000, Ukraine
b Institute of Physics, Mathematics and Computer Science, Drohobych Ivan Franko State Pedagogical University, 24, I. Franko Str., Drohobych 82100, Ukraine
Abstract:
We describe the growth of the value $M_{\infty}(r_1,\dots,r_n,v)=\max\{|v\ (z_1,\dots,z_n)|:|z_j|\le r_j\}$, $0\le r_j<1$ in terms of the modulus of continuity of a measure $\mu$, where the function $v$ is represented by the Poisson–Stieltjes integral.
Key words and phrases:
modulus of continuity, multiple Poisson kernel, Poisson–Stieltjes integral, polydisc.
Received: 11.06.2010
Citation:
I. Chyzhykov, O. Zolota, “Growth of the Poisson–Stieltjes integral in a polydisc”, Zh. Mat. Fiz. Anal. Geom., 7:2 (2011), 141–157
Linking options:
https://www.mathnet.ru/eng/jmag509 https://www.mathnet.ru/eng/jmag/v7/i2/p141
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Abstract page: | 281 | Full-text PDF : | 72 | References: | 56 |
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