We prove that the image under any dominant meromorphic map of the Monge–Ampère measure of a Hölder continuous quasi-psh function still possesses a Hölder potential. We also discuss the case of lower regularity.
Nous démontrons que l’image par une application méromorphe dominante d’une mesure de Monge–Ampère d’une fonction quasi-psh et hölderienne possède aussi un potentiel hölderien. Nous discutons aussi le cas de régularité plus basse.
Keywords: Kähler manifolds, meromorphic map, Monge–Ampère measures
Mot clés : variétés kähleriennes, application méromorphe, mesures de Monge–Ampère
@article{AIF_2018__68_7_2965_0, author = {Di Nezza, Eleonora and Favre, Charles}, title = {Regularity of push-forward of {Monge{\textendash}Amp\`ere} measures}, journal = {Annales de l'Institut Fourier}, pages = {2965--2979}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {68}, number = {7}, year = {2018}, doi = {10.5802/aif.3233}, language = {en}, url = {http://www.numdam.org/articles/10.5802/aif.3233/} }
TY - JOUR AU - Di Nezza, Eleonora AU - Favre, Charles TI - Regularity of push-forward of Monge–Ampère measures JO - Annales de l'Institut Fourier PY - 2018 SP - 2965 EP - 2979 VL - 68 IS - 7 PB - Association des Annales de l’institut Fourier UR - http://www.numdam.org/articles/10.5802/aif.3233/ DO - 10.5802/aif.3233 LA - en ID - AIF_2018__68_7_2965_0 ER -
%0 Journal Article %A Di Nezza, Eleonora %A Favre, Charles %T Regularity of push-forward of Monge–Ampère measures %J Annales de l'Institut Fourier %D 2018 %P 2965-2979 %V 68 %N 7 %I Association des Annales de l’institut Fourier %U http://www.numdam.org/articles/10.5802/aif.3233/ %R 10.5802/aif.3233 %G en %F AIF_2018__68_7_2965_0
Di Nezza, Eleonora; Favre, Charles. Regularity of push-forward of Monge–Ampère measures. Annales de l'Institut Fourier, Volume 68 (2018) no. 7, pp. 2965-2979. doi : 10.5802/aif.3233. http://www.numdam.org/articles/10.5802/aif.3233/
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