The Bergman projection on weighted spaces: L¹ and Herz spaces

Oscar Blasco; Salvador Pérez-Esteva

Studia Mathematica (2002)

  • Volume: 150, Issue: 2, page 151-162
  • ISSN: 0039-3223

Abstract

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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 L¹(w) and in the Herz spaces K p q ( w ) .

How to cite

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Oscar Blasco, and Salvador Pérez-Esteva. "The Bergman projection on weighted spaces: L¹ and Herz spaces." Studia Mathematica 150.2 (2002): 151-162. <http://eudml.org/doc/284991>.

@article{OscarBlasco2002,
abstract = {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 L¹(w) and in the Herz spaces $K_\{p\}^\{q\}(w)$.},
author = {Oscar Blasco, Salvador Pérez-Esteva},
journal = {Studia Mathematica},
keywords = {analytic functions; Bergman projections; continuity; Herz spaces},
language = {eng},
number = {2},
pages = {151-162},
title = {The Bergman projection on weighted spaces: L¹ and Herz spaces},
url = {http://eudml.org/doc/284991},
volume = {150},
year = {2002},
}

TY - JOUR
AU - Oscar Blasco
AU - Salvador Pérez-Esteva
TI - The Bergman projection on weighted spaces: L¹ and Herz spaces
JO - Studia Mathematica
PY - 2002
VL - 150
IS - 2
SP - 151
EP - 162
AB - 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 L¹(w) and in the Herz spaces $K_{p}^{q}(w)$.
LA - eng
KW - analytic functions; Bergman projections; continuity; Herz spaces
UR - http://eudml.org/doc/284991
ER -

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