Radially symmetric plurisubharmonic functions

Per Åhag, Rafał Czyż, and Leif Persson. "Radially symmetric plurisubharmonic functions." Annales Polonici Mathematici 106.1 (2012): 1-17. <http://eudml.org/doc/280579>.

@article{PerÅhag2012,
abstract = {In this note we consider radially symmetric plurisubharmonic functions and the complex Monge-Ampère operator. We prove among other things a complete characterization of unitary invariant measures for which there exists a solution of the complex Monge-Ampère equation in the set of radially symmetric plurisubharmonic functions. Furthermore, we prove in contrast to the general case that the complex Monge-Ampère operator is continuous on the set of radially symmetric plurisubharmonic functions. Finally we characterize radially symmetric plurisubharmonic functions among the subharmonic ones using merely the laplacian.},
author = {Per Åhag, Rafał Czyż, Leif Persson},
journal = {Annales Polonici Mathematici},
keywords = {complex Monge-Ampère equation; radially symmetric plurisubharmonic function},
language = {eng},
number = {1},
pages = {1-17},
title = {Radially symmetric plurisubharmonic functions},
url = {http://eudml.org/doc/280579},
volume = {106},
year = {2012},
}

TY - JOUR
AU - Per Åhag
AU - Rafał Czyż
AU - Leif Persson
TI - Radially symmetric plurisubharmonic functions
JO - Annales Polonici Mathematici
PY - 2012
VL - 106
IS - 1
SP - 1
EP - 17
AB - In this note we consider radially symmetric plurisubharmonic functions and the complex Monge-Ampère operator. We prove among other things a complete characterization of unitary invariant measures for which there exists a solution of the complex Monge-Ampère equation in the set of radially symmetric plurisubharmonic functions. Furthermore, we prove in contrast to the general case that the complex Monge-Ampère operator is continuous on the set of radially symmetric plurisubharmonic functions. Finally we characterize radially symmetric plurisubharmonic functions among the subharmonic ones using merely the laplacian.
LA - eng
KW - complex Monge-Ampère equation; radially symmetric plurisubharmonic function
UR - http://eudml.org/doc/280579
ER -