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

• 论文 •    下一篇

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

彭茹|欧阳才衡   

  1. 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   

  1. 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:

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

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

Abstract:

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

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

中图分类号: 

  • 32A37