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Weak pre-orthogonal adaptive Fourier decomposition in Bergman spaces of pseudoconvex domains
Wu, Hio Tong1; Leong, Ieng Tak1; Qian, Tao2
2021
Source PublicationComplex Variables and Elliptic Equations
ISSN1747-6933
AbstractWe study a weak greedy type algorithm called the weak pre-orthogonal adaptive Fourier decomposition (WPOAFD) for the Bergman space (Formula presented.) on a bounded pseudoconvex domain Ω with smooth boundary. We show that any function (Formula presented.) can be approximated by linear combinations of kernel functions in weak greedy sense.
Keyword32A25 32A36 32T15 46E20 46E22 Bergman kernel Bergman space boundary vanishing property pseudoconvex domain weak maximal selection principle weak pre-orthogonal adaptive Fourier decomposition
DOI10.1080/17476933.2021.2007377
URLView the original
Language英語English
Scopus ID2-s2.0-85121735798
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Cited Times [WOS]:1   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionDEPARTMENT OF MATHEMATICS
Affiliation1.Faculty of Science and Technology, Department of Mathematics, University of Macau, Macao
2.Macao Centre for Mathematical Sciences, Macau University of Science and Technology, Macao
First Author AffilicationFaculty of Science and Technology
Recommended Citation
GB/T 7714
Wu, Hio Tong,Leong, Ieng Tak,Qian, Tao. Weak pre-orthogonal adaptive Fourier decomposition in Bergman spaces of pseudoconvex domains[J]. Complex Variables and Elliptic Equations,2021.
APA Wu, Hio Tong,Leong, Ieng Tak,&Qian, Tao.(2021).Weak pre-orthogonal adaptive Fourier decomposition in Bergman spaces of pseudoconvex domains.Complex Variables and Elliptic Equations.
MLA Wu, Hio Tong,et al."Weak pre-orthogonal adaptive Fourier decomposition in Bergman spaces of pseudoconvex domains".Complex Variables and Elliptic Equations (2021).
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