Výsledky vyhledávání - "Dupain, Yves"

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On estimates for weighted Bergman projections

Autor: Charpentier, Philippe, Dupain, Yves, Mounkaila, Modi

In this note we show that the weighted $L^{2}$-Sobolev estimates obtained by P. Charpentier, Y. Dupain & M. Mounkaila for the weighted Bergman projection of the Hilbert space $L^{2}\left(\Omega,d\mu_{0}\right)$ where $\Omega$ is a smoothly bounded ps

Externí odkaz: http://arxiv.org/abs/1403.3412

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Estimates for some Weighted Bergman Projections

Autor: Charpentier, Philippe, Dupain, Yves, Mounkaila, Modi

In this paper we investigate the regularity properties of weighted Bergman projections for smoothly bounded pseudo-convex domains of finite type in $\mathbb{C}^{n}$. The main result is obtained for weights equal to a non negative rational power of th

Externí odkaz: http://arxiv.org/abs/1212.1078

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Estimates for solutions of the $\partial$-equation and application to the characterization of the zero varieties of the functions of the nevanlinna class for lineally convex domains of finite type

Autor: Charpentier, Philippe, Dupain, Yves, Mounkaila, Modi

Publikováno v: Journal of Geometric Analysis 24, 4 (2014) 1860-1881

In the late ten years, the resolution of the equation $\bar\partial u=f$ with sharp estimates has been intensively studied for convex domains of finite type by many authors. In this paper, we consider the case of lineally convex domains. As the metho

Externí odkaz: http://arxiv.org/abs/1102.1333

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Extremal Bases, Geometrically Separated Domains and Applications

Autor: Charpentier, Philippe, Dupain, Yves

Publikováno v: Algebra i Analiz (St. Petersburg Math. J.) 26, 1 (2014) 196-269

We introduce the notion of extremal basis of tangent vector fields at a boundary point of finite type of a pseudo-convex domain in $\mathbb{C}^n$. Then we define the class of geometrically separated domains at a boundary point, and give a description

Externí odkaz: http://arxiv.org/abs/0810.1884

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