Weighted $L^{\infty }$-estimates for Bergman projections

José Bonet, Miroslav Engliš, and Jari Taskinen. "Weighted $L^{∞}$-estimates for Bergman projections." Studia Mathematica 171.1 (2005): 67-92. <http://eudml.org/doc/284479>.

@article{JoséBonet2005,
abstract = {We consider Bergman projections and some new generalizations of them on weighted $L^\{∞\}()$-spaces. A new reproducing formula is obtained. We show the boundedness of these projections for a large family of weights v which tend to 0 at the boundary with a polynomial speed. These weights may even be nonradial. For logarithmically decreasing weights bounded projections do not exist. In this case we instead consider the projective description problem for holomorphic inductive limits.},
author = {José Bonet, Miroslav Engliš, Jari Taskinen},
journal = {Studia Mathematica},
keywords = {Bergman projection; weighted estimate; projective description problem; holomorphic inductive limit},
language = {eng},
number = {1},
pages = {67-92},
title = {Weighted $L^\{∞\}$-estimates for Bergman projections},
url = {http://eudml.org/doc/284479},
volume = {171},
year = {2005},
}

TY - JOUR
AU - José Bonet
AU - Miroslav Engliš
AU - Jari Taskinen
TI - Weighted $L^{∞}$-estimates for Bergman projections
JO - Studia Mathematica
PY - 2005
VL - 171
IS - 1
SP - 67
EP - 92
AB - We consider Bergman projections and some new generalizations of them on weighted $L^{∞}()$-spaces. A new reproducing formula is obtained. We show the boundedness of these projections for a large family of weights v which tend to 0 at the boundary with a polynomial speed. These weights may even be nonradial. For logarithmically decreasing weights bounded projections do not exist. In this case we instead consider the projective description problem for holomorphic inductive limits.
LA - eng
KW - Bergman projection; weighted estimate; projective description problem; holomorphic inductive limit
UR - http://eudml.org/doc/284479
ER -