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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.
Weighted and boundary l p estimates for solutions of the -equation on lineally convex domains of finite type and applications
Ph. Charpentier, Y Dupain
We obtain sharp weighted estimates for solutions of the equation u = f in a lineally convex domain of finite type. Precisely we obtain estimates in the spaces L p (,$…
On estimates for weighted Bergman projections
Philippe Charpentier, Yves Dupain, Modi Mounkaila
In this note we show that the weighted -Sobolev estimates obtained by P. Charpentier, Y. Dupain & M. Mounkaila for the weighted Bergman projection of the Hilbert space $L^{2…
Estimates for some Weighted Bergman Projections
Philippe Charpentier, Yves Dupain, Modi Mounkaila
In this paper we investigate the regularity properties of weighted Bergman projections for smoothly bounded pseudo-convex domains of finite type in . The main resul…
Estimates for solutions of the -equation and application to the characterization of the zero varieties of the functions of the nevanlinna class for lineally convex domains of finite type
Philippe Charpentier, Yves Dupain, Modi Mounkaila
In the late ten years, the resolution of the equation with sharp estimates has been intensively studied for convex domains of finite type by many authors. In thi…
Extremal Bases, Geometrically Separated Domains and Applications
Philippe Charpentier, Yves Dupain
We introduce the notion of extremal basis of tangent vector fields at a boundary point of finite type of a pseudo-convex domain in . Then we define the class of geome…