Zobrazeno 1 - 10
of 52
pro vyhledávání: '"McNeal, Jeffery D."'
Autor:
Chen, Liwei, McNeal, Jeffery D.
Solution operators for the equation $\bar \partial u=f$ are constructed on general product domains in $\mathbb{C}^n$. When the factors are one-dimensional, the operator is a simple integral operator: it involves specific derivatives of $f$ integrated
Externí odkaz:
http://arxiv.org/abs/1904.09401
Autor:
McNeal, Jeffery D., Mernik, Luka
The singular and regular type of a point on a real hypersurface $\mathcal H$ in $\mathbb C^n$ are shown to agree when the regular type is strictly less than 4. If $\mathcal H$ is pseudoconvex, we show they agree when the regular type is 4. A non-pseu
Externí odkaz:
http://arxiv.org/abs/1708.02673
Autor:
McNeal, Jeffery D., Varolin, Dror
We study the problem of extension of normal jets from a hypersurface, with focus on the growth order of the constant. Using aspects of the standard, twisted approach for $L^2$ extension and of the new approach to $L^2$ extension introduced by Berndts
Externí odkaz:
http://arxiv.org/abs/1707.04483
Autor:
McNeal, Jeffery D., Varolin, Dror
We establish $L^2$ extension theorems for $\bar \partial$-closed $(0,q)$-forms with values in a holomorphic line bundle with smooth Hermitian metric, from a smooth hypersurface on a Stein manifold. Our result extends (and gives a new, perhaps more cl
Externí odkaz:
http://arxiv.org/abs/1502.08054
Autor:
McNeal, Jeffery D., Varolin, Dror
This is a survey article about $L^2$ estimates for the $\bar \partial$ operator. After a review of the basic approach that has come to be called the "Bochner-Kodaira Technique", the focus is on twisted techniques and their applications to estimates f
Externí odkaz:
http://arxiv.org/abs/1502.08047
Autor:
McNeal, Jeffery D.
We show that biholomorphic mappings between two bounded, pseudoconvex domains with smooth boundary extend smoothly to the boundaries of the domains, under a regularity condition on a family of twisted Bergman-like projections. This result is inspired
Externí odkaz:
http://arxiv.org/abs/1205.0284
Publikováno v:
Trans. Amer. Math. Soc. 366 (2014), no. 2, 647--665
Let $\Omega\subset\mathbb{C}^n$ be a bounded domain with smooth boundary, whose Bergman projection $B$ maps the Sobolev space $H^{k_{1}}(\Omega)$ (continuously) into $H^{k_{2}}(\Omega)$. We establish two smoothing results: (i) the full Sobolev norm $
Externí odkaz:
http://arxiv.org/abs/1110.1533
Autor:
McNeal, Jeffery D., Zeytuncu, Yunus E.
Proofs of two results about a monomial ideal -- describing membership in auxiliary ideals associated to the monomial ideal -- are given which do not invoke resolution of singularities. The AM--GM inequality is used as a substitute for taking a log re
Externí odkaz:
http://arxiv.org/abs/1001.4983
Autor:
McNeal, Jeffery D., Varolin, Dror
We establish new results on weighted $L^2$ extension of holomorphic top forms with values in a holomorphic line bundle, from a smooth hypersurface cut out by a holomorphic function. The weights we use are determined by certain functions that we call
Externí odkaz:
http://arxiv.org/abs/math/0607322
Publikováno v:
Math. Ann. 336 (2006), no. 2, 335--359
Let D be a smoothly bounded domain in a complex vector space of dimension n. Suppose that D has a smooth defining function, such that the sum of any q eigenvalues of its complex Hessian are non-negative on the closure of D. We show that this implies
Externí odkaz:
http://arxiv.org/abs/math/0511018