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Spaces of harmonic functions with boundary values in Qα p,q
Yang Q.1; Qian T.2; Li P.3
2014
Source PublicationApplicable Analysis
ISSN1563504X 00036811
Volume93Issue:11Pages:2498-2518
Abstract

In this paper, we apply wavelets to study two classes of function spaces of harmonic functions: the weighted Besov spaces (Formula presented.) and Carleson spaces (Formula presented.). By a reproducing formula, we prove that the elements in these harmonic function spaces can be characterized by the Poisson integral of the functions in the Besov-Q spaces (Formula presented.).

KeywordBesov-morrey Space Carleson Measures Wavelet Weighted Besov Spaces
DOI10.1080/00036811.2014.959441
URLView the original
Indexed BySCIE
Language英語English
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000343910800017
Scopus ID2-s2.0-84916877492
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Citation statistics
Document TypeJournal article
CollectionUniversity of Macau
Corresponding AuthorLi P.
Affiliation1.School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
2.Faculty of Science and Technology, Department of Mathematics, University of Macau, Macau, China
3.College of Mathematics, Qingdao University, Qingdao, Shandong 266071, China
Recommended Citation
GB/T 7714
Yang Q.,Qian T.,Li P.. Spaces of harmonic functions with boundary values in Qα p,q[J]. Applicable Analysis, 2014, 93(11), 2498-2518.
APA Yang Q.., Qian T.., & Li P. (2014). Spaces of harmonic functions with boundary values in Qα p,q. Applicable Analysis, 93(11), 2498-2518.
MLA Yang Q.,et al."Spaces of harmonic functions with boundary values in Qα p,q".Applicable Analysis 93.11(2014):2498-2518.
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