CARLESON MEASURES FOR BESOV-SOBOLEV SPACES WITH APPLICATIONS IN THE UNIT BALL OF Cn

doi:10.1016/S0252-9602(13)60075-2

数学物理学报(英文版) ›› 2013, Vol. 33 ›› Issue (5): 1219-1230.doi: 10.1016/S0252-9602(13)60075-2

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CARLESON MEASURES FOR BESOV-SOBOLEV SPACES WITH APPLICATIONS IN THE UNIT BALL OF Cⁿ

彭茹|欧阳才衡

Department of Mathematics, Wuhan University of Technology, Wuhan 430070, China； Wuhan Institute of Physics and Mathematics, The Chinese Academy of Sciences, Wuhan 430071, China

收稿日期:2012-08-22 出版日期:2013-09-20 发布日期:2013-09-20
基金资助:
Supported in part by the National Natural Science Foundation of China (10971219, 11126048 and 11101279) and the Fundamental Research Funds for the Central Universities (2012-Ia-018).

CARLESON MEASURES FOR BESOV-SOBOLEV SPACES WITH APPLICATIONS IN THE UNIT BALL OF Cⁿ

PENG Ru, OUYANG Cai-Heng

Department of Mathematics, Wuhan University of Technology, Wuhan 430070, China； Wuhan Institute of Physics and Mathematics, The Chinese Academy of Sciences, Wuhan 430071, China

Received:2012-08-22 Online:2013-09-20 Published:2013-09-20
Supported by:
Supported in part by the National Natural Science Foundation of China (10971219, 11126048 and 11101279) and the Fundamental Research Funds for the Central Universities (2012-Ia-018).

摘要/Abstract

摘要：

This paper is devoted to give the connections between Carleson measures for Besov-Sobolev spaces B^σ_p(B) and p-Carleson measure in the unit ball of Cⁿ. As appli-cations, we characterize the Riemann-Stieltjes operators and multipliers acting on B^σ_p (B) spaces by means of Carleson measures for B^σ_p (B).

关键词: Carleson measures, Besov-Sobolev spaces, Riemann-Stieltjes operators, mul-tipliers

Abstract:

Key words: Carleson measures, Besov-Sobolev spaces, Riemann-Stieltjes operators, mul-tipliers

中图分类号:

32A37

彭茹, 欧阳才衡. CARLESON MEASURES FOR BESOV-SOBOLEV SPACES WITH APPLICATIONS IN THE UNIT BALL OF Cⁿ[J]. 数学物理学报(英文版), 2013, 33(5): 1219-1230.

PENG Ru, OUYANG Cai-Heng. CARLESON MEASURES FOR BESOV-SOBOLEV SPACES WITH APPLICATIONS IN THE UNIT BALL OF Cⁿ[J]. Acta mathematica scientia,Series B, 2013, 33(5): 1219-1230.

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CARLESON MEASURES FOR BESOV-SOBOLEV SPACES WITH APPLICATIONS IN THE UNIT BALL OF Cⁿ

CARLESON MEASURES FOR BESOV-SOBOLEV SPACES WITH APPLICATIONS IN THE UNIT BALL OF Cⁿ

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