72 citations · 193 across the 19 of their papers we have counts for
19 papers
Product domains, Multi-Cauchy transforms, and the equation
Liwei Chen, Jeffery D. McNeal
Solution operators for the equation are constructed on general product domains in . When the factors are one-dimensional, the operator is a simple…
Sobolev mapping of some holomorphic projections
L. D. Edholm, J. D. McNeal
Sobolev irregularity of the Bergman projection on a family of domains containing the Hartogs triangle is shown. On the Hartogs triangle itself, a sub-Bergman projection is shown to…
Norm convergence of partial sums of functions
J. D. McNeal, J. Xiong
A classical observation of Riesz says that truncations of a general in the Hardy space do not converge in . A substitute positive result is p…
Duality and approximation of Bergman spaces
D. Chakrabarti, L. D. Edholm, J. D. McNeal
Expected duality and approximation properties are shown to fail on Bergman spaces of domains in , via examples. When the domain admits an operator satisfying certain…
A solution operator for on the Hartogs triangle and estimates
Liwei Chen, Jeffery McNeal
An integral solution operator for is constructed on product domains that include the punctured bidisc. This operator is shown to satisfy estimates for all $1\l…
Regular versus singular order of contact on pseudoconvex hypersurfaces
Jeffery D. McNeal, Luka Mernik
The singular and regular type of a point on a real hypersurface in are shown to agree when the regular type is strictly less than 4. If is p…
Extension of Jets With Estimates, and an Application
Jeffery D. McNeal, Dror Varolin
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 exte…
Bergman subspaces and subkernels: Degenerate mapping and zeroes
L. D. Edholm, J. D. McNeal
Regularity and irregularity of the Bergman projection on spaces is established on a natural family of bounded, pseudoconvex domains. The family is parameterized by a real var…
Extension of -closed forms from a hypersurface
Jeffery D. McNeal, Dror Varolin
We establish extension theorems for -closed -forms with values in a holomorphic line bundle with smooth Hermitian metric, from a smooth hypersurface on…
estimates for the operator
Jeffery D. McNeal, Dror Varolin
This is a survey article about estimates for the operator. After a review of the basic approach that has come to be called the "Bochner-Kodaira Technique", th…
The Bergman projection on fat Hartogs triangles: L^p boundedness
L. D. Edholm, J. D. McNeal
A class of pseudoconvex domains in generalizing the Hartogs triangle is considered. The boundedness of the Bergman projection associated to these domains is…
On closed range for
A. -K. Herbig, J. D. McNeal
A sufficient condition for to have closed range is given for pseudoconvex, possibly unbounded domains in .
Non-holomorphic projections and extension of biholomorphic mappings
Jeffery D. McNeal
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…
Oka's lemma, convexity, and intermediate positivity conditions
A. -K. Herbig, J. D. McNeal
A new proof of Oka's lemma is given for smoothly bounded, pseudoconvex domains . The method of proof is then also applied to other convexity-like hypotheses o…
Duality of holomorphic functions spaces und smoothing properties of the Bergman projection
Anne-Katrin Herbig, Jeffery D. McNeal, Emil J. Straube
Let be a bounded domain with smooth boundary, whose Bergman projection maps the Sobolev space (continuously) into . We estab…
A smoothing property of the Bergman projection
A. -K. Herbig, J. D. McNeal
Let B be the Bergman projection associated to a domain on which the dbar-Neumann operator is compact. We show that arbitrary L^2 derivatives of Bf are controlled by derivatives of…
Multiplier Ideals and Integral Closure of Monomial Ideals: An Analytic Approach
Jeffery D. McNeal, Yunus E. Zeytuncu
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 singularit…
Convex defining functions for convex domains
A. -K. Herbig, J. D. McNeal
We give three proofs of the fact that a smoothly bounded, convex domain in R^n has smooth defining functions whose Hessians are non-negative definite in a neighborhood of the bound…
Analytic inversion of adjunction: L^2 extension theorems with gain
Jeffery D. McNeal, Dror Varolin
We establish new results on weighted extension of holomorphic top forms with values in a holomorphic line bundle, from a smooth hypersurface cut out by a holomorphic function…