BiBloch mappings and composition operators from Bloch type spaces to BMOA

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:382

Article

Kwon, E. G.¹  Pavlovic, M.² 

[1] Andong Natl Univ, Dept Math Educ, Andong 760749, South Korea

[2] Univ Belgrade, Fac Math, Belgrade 11001, Serbia

关键词: Bloch functions;    BiBloch functions;    Bounded mean oscillation;    Bloch type spaces;    Composition operators;   

DOI  :  10.1016/j.jmaa.2011.04.049

来源: Elsevier

【 摘 要 】

The problem of constructing functions f(1), f(2) analytic in the unit disc D of the complex plane satisfying vertical bar f'(1)(z)vertical bar + vertical bar f'(2)(z)vertical bar asymptotic to psi (1/1-vertical bar z vertical bar), z is an element of D, is solved for a wide class of weights psi that includes normal weights. Several applications are given. Particularly we can generalize known characterizations on Bloch-BMO pullbacks. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free