72 citations · 214 across the 7 of their papers we have counts for
7 papers
Projections onto -Bergman spaces of Reinhardt Domains
Debraj Chakrabarti, Luke D. Edholm
For , we emulate the Bergman projection on Reinhardt domains by using a Banach-space basis of -Bergman space. The construction gives an integral kernel generalizin…
High frequency behavior of the Leray transform: model hypersurfaces and projective duality
David E. Barrett, Luke D. Edholm
The Leray transform is studied on a family of unbounded hypersurfaces in two complex dimensions. For a large class of measures, we obtain necessary and sufficient co…
-regularity of the Bergman projection on quotient domains
Chase Bender, Debraj Chakrabarti, Luke D. Edholm +1
We obtain sharp ranges of -boundedness for domains in a wide class of Reinhardt domains representable as sub-level sets of monomials, by expressing them as quotients of 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…
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…
Bergman theory of certain generalized Hartogs triangles
Luke Edholm
The Bergman theory of domains in is studied for certain values of , including all positive integers. For such , we obtain…
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…