CARLESON MEASURES, RIEMANN-STIELTJES OPERATORS AND MULTIPLIERS ON F(p, q, s) SPACES IN THE UNIT BALL OF Cn

doi:10.1016/S0252-9602(16)30028-5

数学物理学报(英文版) ›› 2016, Vol. 36 ›› Issue (3): 635-654.doi: 10.1016/S0252-9602(16)30028-5

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CARLESON MEASURES, RIEMANN-STIELTJES OPERATORS AND MULTIPLIERS ON F(p, q, s) SPACES IN THE UNIT BALL OF Cⁿ

彭茹¹, 吴悠¹, 邓方文²

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

收稿日期:2015-08-25 修回日期:2015-11-28 出版日期:2016-06-25 发布日期:2016-06-25
作者简介:Ru PENG,E-mail:pengru_79@163.com;You WU,E-mail:wuyou_0927@163.com;Fangwen DENG,E-mail:fwdeng@wipm.ac.cn
基金资助:
Supported in part by the National Natural Science Foundation of China (11271359) and the Fundamental Research Funds for the Central Universities (2014-Ia-037 and 2015-IVA-069).

CARLESON MEASURES, RIEMANN-STIELTJES OPERATORS AND MULTIPLIERS ON F(p, q, s) SPACES IN THE UNIT BALL OF Cⁿ

Ru PENG¹, You WU¹, Fangwen DENG²

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

Received:2015-08-25 Revised:2015-11-28 Online:2016-06-25 Published:2016-06-25
Supported by:
Supported in part by the National Natural Science Foundation of China (11271359) and the Fundamental Research Funds for the Central Universities (2014-Ia-037 and 2015-IVA-069).

摘要/Abstract

摘要：

This paper is devoted to characterizing the Riemann-Stieltjes operators and pointwise multipliers on F(p, q, s) spaces in the unit ball of Cⁿ, which contain many classical function spaces, such as the Bloch space, BMOA and Q_s spaces. The boundedness and compactness of these operators on F(p, q, s) spaces are characterized by means of an embedding theorem, i.e., F(p, q, s) spaces boundedly embedded into the tent-type spaces T_p,s^∞(μ).

关键词: Carleson measures, F(p,q,s) spaces, tent-type spaces, Riemann-Stieltjes operators, multipliers

Abstract:

Key words: Carleson measures, F(p,q,s) spaces, tent-type spaces, Riemann-Stieltjes operators, multipliers

中图分类号:

32A37

彭茹, 吴悠, 邓方文. CARLESON MEASURES, RIEMANN-STIELTJES OPERATORS AND MULTIPLIERS ON F(p, q, s) SPACES IN THE UNIT BALL OF Cⁿ[J]. 数学物理学报(英文版), 2016, 36(3): 635-654.

Ru PENG, You WU, Fangwen DENG. CARLESON MEASURES, RIEMANN-STIELTJES OPERATORS AND MULTIPLIERS ON F(p, q, s) SPACES IN THE UNIT BALL OF Cⁿ[J]. Acta mathematica scientia,Series B, 2016, 36(3): 635-654.

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CARLESON MEASURES, RIEMANN-STIELTJES OPERATORS AND MULTIPLIERS ON F(p, q, s) SPACES IN THE UNIT BALL OF Cⁿ

CARLESON MEASURES, RIEMANN-STIELTJES OPERATORS AND MULTIPLIERS ON F(p, q, s) SPACES IN THE UNIT BALL OF Cⁿ

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