3 citations · 7 across the 4 of their papers we have counts for
7 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…
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…