Articles

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

  • PENG Ru ,
  • OUYANG Cai-Heng
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  • 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 date: 2012-08-22

  Online 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).

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).

Cite this article

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 . DOI: 10.1016/S0252-9602(13)60075-2

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