Phillip S. Harrington

activity

20092024

\partial ˉ

L^{2}

-Sobolev spaces on unbounded domains in

C^{n}

3 citations · 15 across the 17 of their papers we have counts for

collaborators

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math.CV2024

The $\partial ˉ$ -problem on $Z (q)$ -domains

Debraj Chakrabarti, Phillip S. Harrington, Andrew Raich

Given a complex manifold containing a relatively compact $Z (q)$ domain, we give sufficient geometric conditions on the domain so that its $L^{2}$ -cohomology in degree $(p, q)$ (known…

math.CV2024

Sobolev Regularity of the Bergman Projection on a Smoothly Bounded Stein Domain that is not Hyperconvex

Phillip S. Harrington

For every $0 < r < \frac{1}{2}$ , we will construct a flat Kähler manifold $M$ and a relatively compact domain with smooth boundary $Ω \subset M$ that is Stein but not hyperconvex such t…

The ∂ˉ-problem on Z(q)-domains

Sobolev Regularity of the Bergman Projection on a Smoothly Bounded Stein Domain that is not Hyperconvex

The $\partial ˉ$ -problem on $Z (q)$ -domains