3 papers
math.CV2023
On Weighted -Sobolev Estimates for Solutions of the -equation on Lineally Convex Domains of Finite Type and Application
P. Charpentier, Y. Dupain
We obtain some weighted -Sobolev estimates with gain on and the weight for solutions of the -equation in lineally convex domains of finite type in $…
math.CV2018
Zeros Sets Of H^p Functions In Lineally Convex Domains Of Finite Type In C^n
P. Charpentier, Y Dupain
In this note we extend N. Th. Varopoulos result on zero sets of H p functions of strictly pseudo-convex domains in C n to lineally convex domains of finite type.
math.CV2016
Weighted estimates for solutions of the -equation for lineally convex domains of finite type and applications to weighted bergman projections
Philippe Charpentier, Y Dupain, M Mounkaila
In this paper we obtain sharp weighted estimates for solutions of the -equation in a lineally convex domains of finite type. Precisely we obtain estimates in spaces of th…