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On the growth of the Cauchy–Szegő transform in the unit ball
I. Chyzhykov, M. Voitovych Faculty of Mechanics and Mathematics, Lviv Ivan Franko National University, 1 Universytetska Str., Lviv 79000, Ukraine
Abstract:
The growth of analytic and harmonic functions in the unit ball $B_n$ represented by the Cauchy–Stieltjes or Poisson–Stieltjes integral is studied. A description of the growth is given in terms of smoothness of the Stieltjes measure.
Key words and phrases:
holomorphic function, Cauchy–Szegő transform, modulus of continuity, Lipschitz class, Poisson integral, Cauchy integral, Cauchy–Stieltjes integral, Poisson–Stielstjes integral, unit ball.
Received: 22.09.2014 Revised: 14.01.2015
Citation:
I. Chyzhykov, M. Voitovych, “On the growth of the Cauchy–Szegő transform in the unit ball”, Zh. Mat. Fiz. Anal. Geom., 11:3 (2015), 236–244
Linking options:
https://www.mathnet.ru/eng/jmag618 https://www.mathnet.ru/eng/jmag/v11/i3/p236
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Abstract page: | 146 | Full-text PDF : | 59 | References: | 28 |
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