Open AccessThe product-type operators from logarithmic Bloch spaces to Zygmund-type spaces
Author(s) -
Yongmin Liu,
Yang Yu
Publication year - 2019
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1912639l
Subject(s) - mathematics , type (biology) , logarithm , compact space , integer (computer science) , product (mathematics) , operator (biology) , pure mathematics , mathematical analysis , discrete mathematics , combinatorics , geometry , ecology , biochemistry , chemistry , repressor , computer science , transcription factor , gene , biology , programming language
The boundedness and compactness of a product-type operator, recently introduced by S. Stevic, A. Sharma and R. Krishan, Tn?1,?2,?f(z) = ?1(z) f(n)(?(z)) + ?2(z) f(n+1)(?(z)), f ? H(D), from the logarithmic Bloch spaces to Zygmund-type spaces are characterized, where ?1, ?2 ? H(D),? is an analytic self-map of D and n a positive integer.