1Departamento de Matemáticas Universidad de Valencia 46100 Burjassot, Valencia, Spain 2Instituto de Matemáticas Universidad Nacional Autónoma de México Unidad Cuernavaca A.P. 273-3 ADMON. 3 Cuernavaca, Morelos, 62251 México
Studia Mathematica, Tome 150 (2002) no. 2, pp. 151-162
We find necessary and sufficient conditions on radial weights $w$ on the unit disc so that the Bergman type projections of Forelli–Rudin are bounded on $L^{1}(w)$ and in the Herz spaces $K_{p}^{q}(w)$.
Keywords:
necessary sufficient conditions radial weights unit disc bergman type projections forelli rudin bounded herz spaces
Affiliations des auteurs :
Oscar Blasco 
1
;
Salvador Pérez-Esteva 
2
1
Departamento de Matemáticas Universidad de Valencia 46100 Burjassot, Valencia, Spain
2
Instituto de Matemáticas Universidad Nacional Autónoma de México Unidad Cuernavaca A.P. 273-3 ADMON. 3 Cuernavaca, Morelos, 62251 México
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author = {Oscar Blasco and Salvador P\'erez-Esteva},
title = {The {Bergman} projection on weighted spaces:
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$L^1$ and Herz spaces
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Oscar Blasco; Salvador Pérez-Esteva. The Bergman projection on weighted spaces:
$L^1$ and Herz spaces. Studia Mathematica, Tome 150 (2002) no. 2, pp. 151-162. doi: 10.4064/sm150-2-4