Extension of vector-valued holomorphic and harmonic functions

José Bonet, Leonhard Frerick, and Enrique Jordá. "Extension of vector-valued holomorphic and harmonic functions." Studia Mathematica 183.3 (2007): 225-248. <http://eudml.org/doc/284629>.

@article{JoséBonet2007,
abstract = {We present a unified approach to the study of extensions of vector-valued holomorphic or harmonic functions based on the existence of weak or weak*-holomorphic or harmonic extensions. Several recent results due to Arendt, Nikolski, Bierstedt, Holtmanns and Grosse-Erdmann are extended. An open problem by Grosse-Erdmann is solved in the negative. Using the extension results we prove existence of Wolff type representations for the duals of certain function spaces.},
author = {José Bonet, Leonhard Frerick, Enrique Jordá},
journal = {Studia Mathematica},
keywords = {vector-valued holomorphic functions; topological sheaves; Fréchet-Schwartz spaces; (DFS)-spaces; locally complete spaces},
language = {eng},
number = {3},
pages = {225-248},
title = {Extension of vector-valued holomorphic and harmonic functions},
url = {http://eudml.org/doc/284629},
volume = {183},
year = {2007},
}

TY - JOUR
AU - José Bonet
AU - Leonhard Frerick
AU - Enrique Jordá
TI - Extension of vector-valued holomorphic and harmonic functions
JO - Studia Mathematica
PY - 2007
VL - 183
IS - 3
SP - 225
EP - 248
AB - We present a unified approach to the study of extensions of vector-valued holomorphic or harmonic functions based on the existence of weak or weak*-holomorphic or harmonic extensions. Several recent results due to Arendt, Nikolski, Bierstedt, Holtmanns and Grosse-Erdmann are extended. An open problem by Grosse-Erdmann is solved in the negative. Using the extension results we prove existence of Wolff type representations for the duals of certain function spaces.
LA - eng
KW - vector-valued holomorphic functions; topological sheaves; Fréchet-Schwartz spaces; (DFS)-spaces; locally complete spaces
UR - http://eudml.org/doc/284629
ER -