Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 18, Tome 178 (1989), pp. 163-165
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K. B. Petrenko. Boundary properties of vector-valued analytic functions in polydiscs. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 18, Tome 178 (1989), pp. 163-165. http://geodesic.mathdoc.fr/item/ZNSL_1989_178_a7/
@article{ZNSL_1989_178_a7,
author = {K. B. Petrenko},
title = {Boundary properties of vector-valued analytic functions in polydiscs},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {163--165},
year = {1989},
volume = {178},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1989_178_a7/}
}
TY - JOUR
AU - K. B. Petrenko
TI - Boundary properties of vector-valued analytic functions in polydiscs
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1989
SP - 163
EP - 165
VL - 178
UR - http://geodesic.mathdoc.fr/item/ZNSL_1989_178_a7/
LA - ru
ID - ZNSL_1989_178_a7
ER -
%0 Journal Article
%A K. B. Petrenko
%T Boundary properties of vector-valued analytic functions in polydiscs
%J Zapiski Nauchnykh Seminarov POMI
%D 1989
%P 163-165
%V 178
%U http://geodesic.mathdoc.fr/item/ZNSL_1989_178_a7/
%G ru
%F ZNSL_1989_178_a7
It is announced that the analytic Radon–Nikodym property (cf. [1]) is responsible for the boundary behaviour of functions in the vector Hardy classes $H^p(\mathbb{D}^n,X)$ in polydiscs (and not only in the disc).
