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
- ,
- 巻
- 11
- 号
- 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
- ID情報
-
- DOI : 10.1007/s11785-017-0673-5
- ISSN : 1661-8254
- eISSN : 1661-8262
- Web of Science ID : WOS:000414022200016