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Hardy space decompositions of Lp(ℝn) for 0 < p < 1 with rational approximation.
- Source :
-
Complex Variables & Elliptic Equations . Apr2019, Vol. 64 Issue 4, p606-630. 25p. - Publication Year :
- 2019
-
Abstract
- This paper aims to obtain decompositions of higher dimensional functions into sums of non-tangential boundary limits of the corresponding Hardy space functions on tubes for the index range . In the one-dimensional case, Deng and Qian recently obtained such a Hardy space decomposition result: for any function , there exist functions and such that , where and 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 17476933
- Volume :
- 64
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Complex Variables & Elliptic Equations
- Publication Type :
- Academic Journal
- Accession number :
- 134265387
- Full Text :
- https://doi.org/10.1080/17476933.2018.1471071