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CARLESON MEASURES,RIEMANN-STIELTJES OPERATORS AND MULTIPLIERS ON F(p,q,s)SPACES IN THE UNIT BALL OF C^n 被引量:3

CARLESON MEASURES,RIEMANN-STIELTJES OPERATORS AND MULTIPLIERS ON F(p,q,s)SPACES IN THE UNIT BALL OF C^n
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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 C^n which contain many classical function spaces, such as the Bloch space, BMOA and Q8 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 Tp,s^∞(μ) This paper is devoted to characterizing the Riemann-Stieltjes operators and pointwise multipliers on F(p, q, s) spaces in the unit ball of C^n which contain many classical function spaces, such as the Bloch space, BMOA and Q8 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 Tp,s^∞(μ)
出处 《Acta Mathematica Scientia》 SCIE CSCD 2016年第3期635-654,共20页 数学物理学报(B辑英文版)
基金 Supported in part by the National Natural Science Foundation of China(11271359) the Fundamental Research Funds for the Central Universities(2014-Ia-037and 2015-IVA-069)
关键词 Carleson measures F(p q s) spaces tent-type spaces Riemann-Stieltjes operators MULTIPLIERS Carleson measures F(p, q, s) spaces tent-type spaces Riemann-Stieltjes operators multipliers
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