The Cauchy-Stieltjes integrals in the theory of analytic functions

dc.contributor.author	Ryazanov, V.I.
dc.date.accessioned	2020-06-11T17:55:22Z
dc.date.available	2020-06-11T17:55:22Z
dc.date.issued	2017
dc.identifier.citation	The Cauchy-Stieltjes integrals in the theory of analytic functions / V.I. Ryazanov // Український математичний вісник. — 2017. — Т. 14, № 4. — С. 548-563. — Бібліогр.: 29 назв. — англ.	uk_UA
dc.identifier.issn	1810-3200
dc.identifier.other	2010 MSC. 30С62, 31A05, 31A20, 31A25, 31B25, 35Q15; Secondary 30E25, 31C05, 34M50, 35F45.
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/169377
dc.description.abstract	We study various Stieltjes integrals as Poisson–Stieltjes, conjugate Poisson–Stieltjes, Schwartz–Stieltjes and Cauchy–Stieltjes and prove theorems on the existence of their finite angular limits a.e. in terms of the Hilbert–Stieltjes integral. These results hold for arbitrary bounded integrands that are differentiable a.e. and, in particular, for integrands of the class CBV (countably bounded variation).	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут прикладної математики і механіки НАН України	uk_UA
dc.relation.ispartof	Український математичний вісник
dc.title	The Cauchy-Stieltjes integrals in the theory of analytic functions	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA