Open AccessOn an integral-type operator from the Bloch space into the QK(p,q) space
Author(s) -
Songxiao Li
Publication year - 2012
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/fil1202331l
Subject(s) - mathematics , bloch space , space (punctuation) , compact space , integer (computer science) , type (biology) , operator (biology) , combinatorics , mathematical analysis , ecology , philosophy , linguistics , biochemistry , chemistry , repressor , computer science , transcription factor , gene , biology , programming language
Let n be a positive integer, 1 ∈ H(D) and φ be an analytic self-map of D. The boundedness and compactness of the integral operator (C n1 f)(z) = ∫ z 0 f (n) (φ(ξ))1(ξ)dξ from the Bloch and little Bloch space into the spaces QK(p,q) and QK,0(p,q) are characterized.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom