On the existence of angular boundary values for polyharmonic functions in the unit ball
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 45, Tome 456 (2017), pp. 144-154

Voir la notice de l'article provenant de la source Math-Net.Ru

We study boundary properties of polyharmonic functions. In particular, a criterion is obtained (in terms of the radial growth of th derivative) for the existence a.e. of angular boundary values for a polyharmonic function bounded in the unit ball.
@article{ZNSL_2017_456_a11,
     author = {M. Ya. Mazalov},
     title = {On the existence of angular boundary values for polyharmonic functions in the unit ball},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {144--154},
     publisher = {mathdoc},
     volume = {456},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2017_456_a11/}
}
TY  - JOUR
AU  - M. Ya. Mazalov
TI  - On the existence of angular boundary values for polyharmonic functions in the unit ball
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2017
SP  - 144
EP  - 154
VL  - 456
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2017_456_a11/
LA  - ru
ID  - ZNSL_2017_456_a11
ER  - 
%0 Journal Article
%A M. Ya. Mazalov
%T On the existence of angular boundary values for polyharmonic functions in the unit ball
%J Zapiski Nauchnykh Seminarov POMI
%D 2017
%P 144-154
%V 456
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZNSL_2017_456_a11/
%G ru
%F ZNSL_2017_456_a11
M. Ya. Mazalov. On the existence of angular boundary values for polyharmonic functions in the unit ball. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 45, Tome 456 (2017), pp. 144-154. http://geodesic.mathdoc.fr/item/ZNSL_2017_456_a11/