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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Science in China Ser...arrow_drop_down
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
Science in China Series A Mathematics
Article . 2007 . Peer-reviewed
License: Springer TDM
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Science China Mathematics
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Characterization for commutators of n-dimensional fractional Hardy operators

descriptionPublicationkeyboard_double_arrow_right Article 19 Jul 2007 English Publisher:Springer Science and Business Media LLCJournal:Science in China Series A: Mathematics, volume 50, pages 1,418-1,426 (issn: 1006-9283, eissn: 1862-2763, Copyright policy )
Authors: Hongbin Wang; Zong-guang Liu; Shanzhen Lu; Zunwei Fu;

doi: 10.1007/s11425-007-0094-4

Characterization for commutators of n-dimensional fractional Hardy operators

Abstract

In this paper, it was proved that the commutator \(\mathcal{H}_{\beta ,b} \) generated by an n-dimensional fractional Hardy operator and a locally integrable function b is bounded from Lp1 (ℝn) to Lp2 (ℝn) if and only if b is a CṀO(ℝn) function, where 1/p1 − 1/p2 = β/n, 1 < p1 < ∞, 0 ⩽ β < n. Furthermore, the characterization of \(\mathcal{H}_{\beta ,b} \) on the homogenous Herz space \(\dot K_q^{\alpha ,p} \)(ℝn) was obtained.

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
68
Top 10%
Top 10%
Average
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