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http://hdl.handle.net/10773/17423
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DC Field | Value | Language |
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dc.contributor.author | Kähler, Uwe | pt |
dc.contributor.author | Ku, Min | pt |
dc.contributor.author | Qian, Tao | pt |
dc.date.accessioned | 2017-05-15T12:16:18Z | - |
dc.date.issued | 2017-06 | - |
dc.identifier.issn | 1422-6383 | pt |
dc.identifier.uri | http://hdl.handle.net/10773/17423 | - |
dc.description.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. | pt |
dc.language.iso | eng | pt |
dc.publisher | Springer Verlag | pt |
dc.relation | FCT - UID/MAT/0416/2013 | pt |
dc.relation | FCT - SFRH/BPD/74581/2010 | pt |
dc.relation | University of Macau MYRG115(Y1-L4)-FST13-QT | pt |
dc.rights | restrictedAccess | por |
dc.subject | Hardy space | pt |
dc.subject | Schwarz problems | pt |
dc.subject | Schwarz kernel | pt |
dc.subject | Monogenic signals | pt |
dc.title | Schwarz Problems for Poly-Hardy Space on the Unit Ball | pt |
dc.type | article | pt |
dc.peerreviewed | yes | pt |
ua.distribution | international | pt |
degois.publication.firstPage | 801 | pt |
degois.publication.issue | 3-4 | pt |
degois.publication.lastPage | 823 | pt |
degois.publication.title | Results in Mathematics | pt |
degois.publication.volume | 71 | pt |
dc.date.embargo | 10000-01-01 | - |
dc.identifier.doi | 10.1007/s00025-016-0575-2 | pt |
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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