54 citations · 197 across the 38 of their papers we have counts for
42 papers
A New Index Theorem for Monomial Ideals by Resolutions
Ronald G. Douglas, Mohammad Jabbari, Xiang Tang +1
We prove an index theorem for the quotient module of a monomial ideal. We obtain this result by resolving the monomial ideal by a sequence of Bergman space like essentially normal…
On the -essential normality of principal submodules of the Bergman module on strongly pseudoconvex domains
Ronald G. Douglas, Kunyu Guo, Yi Wang
In this paper, we show that under a mild condition, a principal submodule of the Bergman module on a bounded strongly pseudoconvex domain with smooth boundary in is…
Geometirc Arveson-Douglas Conjecture - Decomposition of Varieties
Ronald G. Douglas, Yi Wang
In this paper, we prove the Geometric Arveson-Douglas Conjecture for a special case which allow some singularity on . More precisely, we show that if a vari…
Hermitian geometry on resolvent set(I)
Ronald G. Douglas, Rongwei Yang
For a tuple of elements in a unital Banach algebra , its projective joint spectrum is the collection of such t…
Geometric Arveson-Douglas Conjecture and Holomorphic Extension
Ronald G. Douglas, Yi Wang
In this paper we introduce techniques from complex harmonic analysis to prove a weaker version of the Geometric Arveson-Douglas Conjecture for complex analytic subsets that is smoo…
Generalized Bundle Shift with Application to Multiplication operator on the Bergman space
Ronald G. Douglas, Dinesh Kumar Keshari, Anjian Xu
Following upon results of Putinar, Sun, Wang, Zheng and the first author, we provide models for the restrictions of the multiplication by a finite Balschke product on the Bergman s…