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

被引:4
作者
Peng, Ru [1 ]
Wu, You [1 ]
Deng, Fangwen [2 ]
机构
[1] Wuhan Univ Technol, Dept Math, Wuhan 430070, Peoples R China
[2] Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China
基金
中国国家自然科学基金;
关键词
Carleson measures; F(p; q; s); spaces; tent-type spaces; Riemann-Stieltjes operators; multipliers; CORONA TYPE DECOMPOSITION; INTEGRATION OPERATORS; ANALYTIC-FUNCTIONS; Q(P) SPACES; BLOCH;
D O I
10.1016/S0252-9602(16)30028-5
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
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 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(infinity) (mu).
引用
收藏
页码:635 / 654
页数:20
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