ON STEVIC-SHARMA OPERATOR FROM THE MIXED-NORM SPACES TO ZYGMUND-TYPE SPACES

被引:22
|
作者
Guo, Zhitao [1 ]
Liu, Linlin [1 ]
Shu, Yonglu [2 ]
机构
[1] Henan Inst Technol, Sch Sci, Xinxiang 453003, Henan, Peoples R China
[2] Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China
来源
关键词
and phrases: Stevic-Sharma operator; boundedness; compactness; mixed-norm spaces; Zygmund-type spaces; GENERALIZED COMPOSITION OPERATORS; WEIGHTED-TYPE SPACES; H-INFINITY; INTEGRAL OPERATOR; BLOCH-SPACES; DIFFERENTIATION; MULTIPLICATION; BOUNDEDNESS; COMPACTNESS; PRODUCTS;
D O I
10.7153/mia-2021-24-31
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let phi be an analytic self-map of the unit disk D, H(D) the space of all analytic functions on D, and psi(1), psi(2) is an element of H(D). The boundedness and compactness of Stevic-Sharma operator T-psi 1,T- psi 2, (phi) f = psi(1) . f omicron phi + psi(2) . f' omicron phi from the mixed-norm space H(p, q, phi) to Zygmund-type space Z(mu) and little Zygmund-type space Z(0)(mu) are investigated in this paper.
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页码:445 / 461
页数:17
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