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Ufimskii Matematicheskii Zhurnal, 2012, Volume 4, Issue 1, Pages 166–172
(Mi ufa143)
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On the asymptotic behavior of Cauchy–Stieltjes integral in the polydisc
O. A. Zolota
Institute of Physics, Mathematics and Computer Science, Drohobych Ivan Franko State Pedagogical University, Drohobych, Lviv reg., Ukraine
Abstract:
In the paper the asymptotic behavior of Cauchy–Stieltjes integral of a complex-valued Borel measure on the skeleton in the polydisc is described. The main result holds outside a set of zero $\omega$-capacity. It generalizes the theorem for the one-dimensional case.
Keywords:
modulus of continuity, Cauchy–Stieltjes integral, polydisc, set of zero $\omega$-capacity, non-tangential limit.
Received: 19.01.2012
Citation:
O. A. Zolota, “On the asymptotic behavior of Cauchy–Stieltjes integral in the polydisc”, Ufa Math. J., 4:1 (2012)
Linking options:
https://www.mathnet.ru/eng/ufa143 https://www.mathnet.ru/eng/ufa/v4/i1/p166
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| Abstract page: | 301 | | Full-text PDF : | 101 | | References: | 45 | | First page: | 2 |
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