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math.FA2024
Essential normality of quotient modules vs. Hilbert-Schmidtness of submodules in
Penghui Wang, Chong Zhao, Zeyou Zhu
In the present paper, we prove that all the quotient modules in , associated to the finitely generated submodules containing a distinguished homogenous polynomial…
math.FA2016★ 1 cited
Polydisc version of Arveson's conjecture
Penghui Wang, Chong Zhao
In the present paper, we solve the polydisc-version of Arveson Conjecture by giving a complete criteria for essential normality of homogeneous quotient modules of the Hardy module…
math.FA2015
Essential normality of homogenous quotient modules over the polydisc: distinguished variety case
Penghui Wang, Chong Zhao
In the present paper, we study the essential normality of quotient modules over the polydisc. It is shown that if the zero variety of homogenous ideal is a distinguished variet…