2 citations · 4 across the 5 of their papers we have counts for
10 papers
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 .
Integrating holomorphic -functions
A. -K. Herbig
Let be a domain with smooth boundary, . It is shown that the integral of a holomorphic function in may be represented as the integ…
A note on a smoothing property of the harmonic Bergman projection
A. -K. Herbig
It is proved that on any smoothly bounded domain in , , the output of the harmonic Bergman projection belongs to the Sobolev space of order whenever all…
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…