論文

査読有り
2017年12月

Reproducing Kernels for Iterated Parabolic Operators on the Upper Half Space with Application to Polyharmonic Bergman Spaces

COMPLEX ANALYSIS AND OPERATOR THEORY
  • Masaharu Nishio
  • ,
  • Katsunori Shimomura

11
8
開始ページ
1865
終了ページ
1878
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1007/s11785-017-0673-5
出版者・発行元
SPRINGER BASEL AG

We consider parabolic operators of fractional order and their iterates on the upper half space of the euclidean space. We deal with Hilbert spaces of solutions of those parabolic equations. We shall show, in this note, the existence of reproducing kernels and give a formula by using their fundamental solutions. As an application, we also discuss the polyharmonic Bergman spaces and give their reproducing kernels by using the Poisson kernel on the upper half space.

リンク情報
DOI
https://doi.org/10.1007/s11785-017-0673-5
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000414022200016&DestApp=WOS_CPL
ID情報
  • DOI : 10.1007/s11785-017-0673-5
  • ISSN : 1661-8254
  • eISSN : 1661-8262
  • Web of Science ID : WOS:000414022200016

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