The Fractional Carleson Measures on the Unit Ball of ℝn+1

We construct a quantity in terms of Lp integral of the Jacobian of a conformal self-map on the unit ball of ℝn+1. Then, we characterize the fractional Carleson measures on the unit ball by the quantity.

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Main Authors: Dongfang Wang, Bolin Ma
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2013/593521
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author Dongfang Wang
Bolin Ma
author_facet Dongfang Wang
Bolin Ma
author_sort Dongfang Wang
collection DOAJ
description We construct a quantity in terms of Lp integral of the Jacobian of a conformal self-map on the unit ball of ℝn+1. Then, we characterize the fractional Carleson measures on the unit ball by the quantity.
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institution Kabale University
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1758-4965
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series Journal of Function Spaces and Applications
spelling doaj-art-c1d320ad6eec46fc9729ee9e697ac5002025-02-03T01:01:08ZengWileyJournal of Function Spaces and Applications0972-68021758-49652013-01-01201310.1155/2013/593521593521The Fractional Carleson Measures on the Unit Ball of ℝn+1Dongfang Wang0Bolin Ma1College of Mathematics and Econometrics, Hunan University, Changsha 410082, ChinaCollege of Mathematics Physics and Information Engineering, Jiaxing University, Jiaxing 314001, ChinaWe construct a quantity in terms of Lp integral of the Jacobian of a conformal self-map on the unit ball of ℝn+1. Then, we characterize the fractional Carleson measures on the unit ball by the quantity.http://dx.doi.org/10.1155/2013/593521
spellingShingle Dongfang Wang
Bolin Ma
The Fractional Carleson Measures on the Unit Ball of ℝn+1
Journal of Function Spaces and Applications
title The Fractional Carleson Measures on the Unit Ball of ℝn+1
title_full The Fractional Carleson Measures on the Unit Ball of ℝn+1
title_fullStr The Fractional Carleson Measures on the Unit Ball of ℝn+1
title_full_unstemmed The Fractional Carleson Measures on the Unit Ball of ℝn+1
title_short The Fractional Carleson Measures on the Unit Ball of ℝn+1
title_sort fractional carleson measures on the unit ball of rn 1
url http://dx.doi.org/10.1155/2013/593521
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