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                                       Details for article 3 of 9 found articles
 
 
  BiBloch-type Maps: Existence and Beyond
 
 
Title: BiBloch-type Maps: Existence and Beyond
Author: Gauthier, Paul M.
Xiao, Jie
Appeared in: Complex variables and elliptic equations
Paging: Volume 47 (2002) nr. 8 pages 667-678
Year: 2002-08
Contents: It is shown that for α> 0 there are two constants c 1 , c 2 > 0 and a holomorphic map f from the unit disk ${\shadD} {\rm of} {\shadC}$ into ${\shadC}^2$ such that $ c_1(1-|z|)^{-\alpha }\le |\,f'(z)|\le c_2(1-|z|)^{-\alpha } $ for all $ z\in {\shadD}$ . Moreover, this existence is effectively used in the study of invariance of the Bloch-type spaces under composition, but also in the discussion of embedding the Bloch-type spaces via derivation into the Lebesgue, mixed-norm and Coifman-Meyer-Stein tent spaces.
Publisher: Taylor & Francis
Source file: Elektronische Wetenschappelijke Tijdschriften
 
 

                             Details for article 3 of 9 found articles
 
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