The Product-Type Operators from Logarithmic Bloch Spaces to Zygmund-Type Spaces

被引:13
作者
Liu, Yongmin [1 ]
Yu, Yanyan [2 ]
机构
[1] Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Jiangsu, Peoples R China
[2] Xuzhou Inst Technol, Sch Math & Phys Sci, Xuzhou 221018, Jiangsu, Peoples R China
关键词
product-type operator; Cramer's Rule; Zygmund-type space; logarithmic Bloch space; WEIGHTED-TYPE SPACES; MIXED-NORM SPACES; GENERALIZED COMPOSITION OPERATORS; INTEGRAL-TYPE OPERATORS; STEVIC-SHARMA OPERATOR; DIFFERENTIATION COMPOSITION OPERATORS; AREA NEVANLINNA SPACES; H-INFINITY; MULTIPLICATION; EXTENSION;
D O I
10.2298/FIL1912639L
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The boundedness and compactness of a product-type operator, recently introduced by S. Stevic, A. Sharma and R. Krishan, T-psi 1,psi 2,phi(n) f(z) = psi(1)(z) f((n)) (phi(z)) + psi(2)(z)f((n+1)) (phi(z)), f is an element of H(D), from the logarithmic Bloch spaces to Zygmund-type spaces are characterized, where psi(1), psi(2) is an element of H(D), phi is an analytic self-map of D and n a positive integer.
引用
收藏
页码:3639 / 3653
页数:15
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