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Hardy space decompositions of Lp(ℝn) for 0 < p < 1 with rational approximation
Deng G.-T.1; Li H.-C.2; Qian T.3
2019-04-03
Source PublicationComplex Variables and Elliptic Equations
ISSN17476941 17476933
Volume64Issue:4Pages:606-630
AbstractThis paper aims to obtain decompositions of higher dimensional L(R) functions into sums of non-tangential boundary limits of the corresponding Hardy space functions on tubes for the index range 0 < p < 1. In the one-dimensional case, Deng and Qian recently obtained such a Hardy space decomposition result: for any function f ∈ L(R), 0 < p < 1, there exist functions f and f such that f = f + f, where f and f are, respectively, the non-tangential boundary limits of some Hardy space functions in the upper-half and lower-half planes. In the present paper, we generalize the one-dimensional Hardy space decomposition result to the higher dimensions and discuss the uniqueness issue of such decomposition.
Keyworddecomposition Hardy spaces on tube domain rational approximation
DOI10.1080/17476933.2018.1471071
URLView the original
Language英語
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Document TypeJournal article
CollectionUniversity of Macau
Affiliation1.Beijing Normal University
2.South China Agricultural University
3.Universidade de Macau
Recommended Citation
GB/T 7714
Deng G.-T.,Li H.-C.,Qian T.. Hardy space decompositions of Lp(ℝn) for 0 < p < 1 with rational approximation[J]. Complex Variables and Elliptic Equations,2019,64(4):606-630.
APA Deng G.-T.,Li H.-C.,&Qian T..(2019).Hardy space decompositions of Lp(ℝn) for 0 < p < 1 with rational approximation.Complex Variables and Elliptic Equations,64(4),606-630.
MLA Deng G.-T.,et al."Hardy space decompositions of Lp(ℝn) for 0 < p < 1 with rational approximation".Complex Variables and Elliptic Equations 64.4(2019):606-630.
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