Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/17423
Title: | Schwarz Problems for Poly-Hardy Space on the Unit Ball |
Author: | Kähler, Uwe Ku, Min Qian, Tao |
Keywords: | Hardy space Schwarz problems Schwarz kernel Monogenic signals |
Issue Date: | Jun-2017 |
Publisher: | Springer Verlag |
Abstract: | In this paper we study the Schwarz boundary value problem for the poly-Hardy space defined on the unit ball of higher dimensional Euclidean space R^n. We first discuss the boundary behavior of functions belonging to the poly-Hardy class. Then we construct the Schwarz kernel function, and describe the boundary properties of the Schwarz-type integrable operator. Finally, we study the Schwarz BVP for the Hardy class and the poly-Hardy class on the unit ball of higher dimensional Euclidean space R^n, and obtain explicit expressions of solutions. As an application, the monogenic signals considered for the Hardy spaces defined on the unit sphere are reconstructed when the scalar- and sub-algebra-valued data are given, which is the extension of the analytic signals for the Hardy spaces on the unit circle of the complex plane. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/17423 |
DOI: | 10.1007/s00025-016-0575-2 |
ISSN: | 1422-6383 |
Appears in Collections: | CIDMA - Artigos CHAG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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art%3A10.1007%2Fs00025-016-0575-2.pdf | Documento principal | 684.83 kB | Adobe PDF |
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