title: Cauchy–Leray–Fantappiè integral in linearly convex domains
metadata.name: dc.contributor.author
metadata.value: Rotkevich, Alexander
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2016-04-13T10:57:55Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2016-04-13T10:57:55Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2013-11
metadata.lang: -
metadata.name: dc.identifier.issn
metadata.value: 1072-3374
metadata.lang: -
metadata.name: dc.identifier.issn
metadata.value: 1573-8795
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/2086
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: An important tool in analysis of functions of one complex variable is the Cauchy formula. However, in the case of several complex variables there is no unique and convenient formula of this sort. One can use the Szegö projection S, but the kernel of the operator S has usually no closed form expression. Another choice is the Cauchy–Leray–Fantappiè formula that has a rather closed form kernel for large classes of domains. In this paper, we prove the boundedness of the Cauchy–Leray–Fantappiè integral for linearly convex domains as an operator on Lp and BMO. Bibliography: 17 titles.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: en
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: Springer
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: 194;6
metadata.lang: -
metadata.name: dc.title
metadata.value: Cauchy–Leray–Fantappiè integral in linearly convex domains
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: Rotkevich.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/2086/1/Rotkevich.pdf
resources.format: Adobe PDF
resources.size: 247,1 kB