Convex domains of finite type
نویسندگان
چکیده
منابع مشابه
Hölder estimates on convex domains of finite type
This article contains a natural and important application of the holomorphic support functions for convex domains of finite type in Cn constructed in [DiFo]. Namely, we use these functions to get ∂-solving Cauchy-Fantappié kernels for ∂-closed (0, q)-forms, such that the solutions given by them on bounded forms satisfy the best possible uniform Hölder estimates. More precisely we show: Theorem ...
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In this paper we investigate the regularity properties of weighted Bergman projections for smoothly bounded pseudo-convex domains of finite type in C. The main result is obtained for weights equal to a non-negative rational power of the absolute value of a special defining function ρ of the domain: we prove (weighted) Sobolev-L and Lipschitz estimates for domains in C2 (or, more generally, for ...
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j = 1, · · · , n−q−3, where A = 〈∂ζr(ζ), ζ−z〉, β = |z−ζ|2 and r is the defining function of D. In the case of finite strict type, Bruna et al. estimated 〈∂r(ζ), ζ−z〉 by the pseudometric constructed by McNeal. We can estimate the above differential forms and their derivatives. Then, by using a method of estimating integrals essentially due to McNeal and Stein, we prove the following almost sharp...
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Abstract. The main goal of the paper is to establish that the L1 norm of jumps of the normal derivative across element boundaries and the L1 norm of the Laplacian of a piecewise polynomial finite element function can be controlled by corresponding weighted discrete H2 norm on convex polyhedral domains. In the finite element literature such results are only available for piecewise linear element...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 1992
ISSN: 0022-1236
DOI: 10.1016/0022-1236(92)90029-i