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Weak pre-orthogonal adaptive Fourier decomposition in Bergman spaces of pseudoconvex domains
Wu, Hio Tong1; Leong, Ieng Tak1; Qian, Tao2
2023-04-03
Source PublicationComplex Variables and Elliptic Equations
ISSN1747-6933
Volume68Issue:4Pages:568 - 577
Abstract

We 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.

KeywordBergman 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
Indexed BySCIE
Language英語English
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000731227600001
PublisherTAYLOR & FRANCIS LTD2-4 PARK SQUARE, MILTON PARK, ABINGDON OR14 4RN, OXON, ENGLAND
Scopus ID2-s2.0-85121735798
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Document TypeJournal article
CollectionFaculty of Science and Technology
DEPARTMENT OF MATHEMATICS
Corresponding AuthorLeong, Ieng Tak
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
Corresponding 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, 2023, 68(4), 568 - 577.
APA Wu, Hio Tong., Leong, Ieng Tak., & Qian, Tao (2023). Weak pre-orthogonal adaptive Fourier decomposition in Bergman spaces of pseudoconvex domains. Complex Variables and Elliptic Equations, 68(4), 568 - 577.
MLA Wu, Hio Tong,et al."Weak pre-orthogonal adaptive Fourier decomposition in Bergman spaces of pseudoconvex domains".Complex Variables and Elliptic Equations 68.4(2023):568 - 577.
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