On a conjecture of Král concerning the subharmonic extension of continuously differentiable functions
Mathematica Bohemica, Tome 145 (2020) no. 1, pp. 71-73
Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
This note verifies a conjecture of Král, that a continuously differentiable function, which is subharmonic outside its critical set, is subharmonic everywhere.
DOI :
10.21136/MB.2019.0104-18
Classification :
31B05
Keywords: subharmonic function; extension theorem
Keywords: subharmonic function; extension theorem
@article{10_21136_MB_2019_0104_18,
author = {Gardiner, Stephen J. and Sj\"odin, Tomas},
title = {On a conjecture of {Kr\'al} concerning the subharmonic extension of continuously differentiable functions},
journal = {Mathematica Bohemica},
pages = {71--73},
publisher = {mathdoc},
volume = {145},
number = {1},
year = {2020},
doi = {10.21136/MB.2019.0104-18},
mrnumber = {4088694},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2019.0104-18/}
}
TY - JOUR AU - Gardiner, Stephen J. AU - Sjödin, Tomas TI - On a conjecture of Král concerning the subharmonic extension of continuously differentiable functions JO - Mathematica Bohemica PY - 2020 SP - 71 EP - 73 VL - 145 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.21136/MB.2019.0104-18/ DO - 10.21136/MB.2019.0104-18 LA - en ID - 10_21136_MB_2019_0104_18 ER -
%0 Journal Article %A Gardiner, Stephen J. %A Sjödin, Tomas %T On a conjecture of Král concerning the subharmonic extension of continuously differentiable functions %J Mathematica Bohemica %D 2020 %P 71-73 %V 145 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.21136/MB.2019.0104-18/ %R 10.21136/MB.2019.0104-18 %G en %F 10_21136_MB_2019_0104_18
Gardiner, Stephen J.; Sjödin, Tomas. On a conjecture of Král concerning the subharmonic extension of continuously differentiable functions. Mathematica Bohemica, Tome 145 (2020) no. 1, pp. 71-73. doi: 10.21136/MB.2019.0104-18
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