Výsledky vyhledávání - "Catlin, David"

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Autor: Catlin, David W., D'Angelo, John P.

We discuss some aspects of the theory of subelliptic estimates.
Comment: to appear in Complex Analysis: Several complex variables and connections with PDEs and geometry (Fribourg 2008), Trends in Math, Birkh\"auser-Verlag

Externí odkaz: http://arxiv.org/abs/0906.0009

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Sharp Estimates for the $\bar{\partial}$-Neumann Problem on Regular Coordinate Domains

Autor: Catlin, David W., Cho, Jae-Seong

This paper treats subelliptic estimates for the $\bar{\partial}$-Neumann problem on a class of domains known as regular coordinate domains. Our main result is that the largest subelliptic gain for a regular coordinate domain is bounded below by a pur

Externí odkaz: http://arxiv.org/abs/0811.0830

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Positivity conditions for bihomogeneous polynomials

Autor: Catlin, David W., D'Angelo, John P.

In this paper we continue our study of a complex variables version of Hilbert's seventeenth problem by generalizing some of the results from [CD]. Given a bihomogeneous polynomial $f$ of several complex variables that is positive away from the origin

Externí odkaz: http://arxiv.org/abs/math/9702201

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A stabilization theorem for Hermitian forms and applications to holomorphic mappings

Autor: Catlin, David W., D'Angelo, John P.

We consider positivity conditions both for real-valued functions of several complex variables and for Hermitian forms. We prove a stabilization theorem relating these two notions, and give some applications to proper mappings between balls in differe

Externí odkaz: http://arxiv.org/abs/math/9511201

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