On locally convex extension of $H^{\infty }$ in the unit ball and continuity of the Bergman projection

M. Jasiczak. "On locally convex extension of $H^{∞}$ in the unit ball and continuity of the Bergman projection." Studia Mathematica 156.3 (2003): 261-275. <http://eudml.org/doc/284818>.

@article{M2003,
abstract = {We define locally convex spaces LW and HW consisting of measurable and holomorphic functions in the unit ball, respectively, with the topology given by a family of weighted-sup seminorms. We prove that the Bergman projection is a continuous map from LW onto HW. These are the smallest spaces having this property. We investigate the topological and algebraic properties of HW.},
author = {M. Jasiczak},
journal = {Studia Mathematica},
keywords = {weighted-sup seminorms},
language = {eng},
number = {3},
pages = {261-275},
title = {On locally convex extension of $H^\{∞\}$ in the unit ball and continuity of the Bergman projection},
url = {http://eudml.org/doc/284818},
volume = {156},
year = {2003},
}

TY - JOUR
AU - M. Jasiczak
TI - On locally convex extension of $H^{∞}$ in the unit ball and continuity of the Bergman projection
JO - Studia Mathematica
PY - 2003
VL - 156
IS - 3
SP - 261
EP - 275
AB - We define locally convex spaces LW and HW consisting of measurable and holomorphic functions in the unit ball, respectively, with the topology given by a family of weighted-sup seminorms. We prove that the Bergman projection is a continuous map from LW onto HW. These are the smallest spaces having this property. We investigate the topological and algebraic properties of HW.
LA - eng
KW - weighted-sup seminorms
UR - http://eudml.org/doc/284818
ER -