UM
Rational approximation in Hardy spaces on strips
Mai, Weixiong; Qian, Tao
2018
Source PublicationCOMPLEX VARIABLES AND ELLIPTIC EQUATIONS
ISSN1747-6933
Volume63Issue:12Pages:1721-1738
AbstractIn this paper we consider rational approximation of functions in the Hardy spaces on the strip S-a = {z = x+ iy. C; x is an element of R, | y| < a} witha > 0. Observing thatH2(Sa) can be regarded as the directsumofH2(C +- a) and H-2(C a), we give three kinds of adaptive rational approximation in H-2(Sa) enhancing the corresponding approximations in H2(C +- a) and H-2(C a), where C+,- a = {z = x + iy. C; x. R, y > - a} and C-, a = {z = x + iy. C; x. R, y < a}. We also obtain a type of approximation for subspaces in Hp(Sa), 1 < p < 8 by making use of Riesz bases in these subspaces.
KeywordAdaptive Fourier decomposition Takenaka-Malmquist system Riesz bases Hardy spaces
DOI10.1080/17476933.2017.1403428
URLView the original
Indexed BySCI
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000445244200004
PublisherTAYLOR & FRANCIS LTD
The Source to ArticleWOS
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Cited Times [WOS]:1   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionUniversity of Macau
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GB/T 7714
Mai, Weixiong,Qian, Tao. Rational approximation in Hardy spaces on strips[J]. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS,2018,63(12):1721-1738.
APA Mai, Weixiong,&Qian, Tao.(2018).Rational approximation in Hardy spaces on strips.COMPLEX VARIABLES AND ELLIPTIC EQUATIONS,63(12),1721-1738.
MLA Mai, Weixiong,et al."Rational approximation in Hardy spaces on strips".COMPLEX VARIABLES AND ELLIPTIC EQUATIONS 63.12(2018):1721-1738.
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