JIPAM

Carleson Measures for Analytic Besov Spaces: The Upper Triangle Case  
 
  Authors: Nicola Arcozzi,  
  Keywords: Analytic Besov Spaces, Carleson measures, Discrete model  
  Date Received: 20/05/04  
  Date Accepted: 14/01/05  
  Subject Codes:

Primary: 30H05; Secondary: 46E15 46E35.

  
  Editors: Sever S. Dragomir,  
 
  Abstract:

For a large family of weights $ rho$ in the unit disc and for fixed $ 1qpinfty$, we give a characterization of those measures $ mu$ such that, for all functions $ f$ holomorphic in the unit disc,

$displaystyle Vert fVert_{L^{q}(mu)}leq C(mu)left(int_{mathbb{D}}vert(... ...{(1-leftvert zrightvert ^{2})^{2}}+vert f(0)vert^pright)^{frac{1}{p}}. $
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