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

Showing 2019Show all

3 papers · 1 filter

math.CV2019

On Competing Definitions for the Diederich-Fornæss Index

Phillip S. Harrington

Let $Ω \subset C^{n}$ be a bounded pseudoconvex domain. We define the Diederich-Fornæss index with respect to a family of functions to be the supremum over the set of all expo…

math.CV2019★ 2 cited

The $\partial ˉ$ -Neumann operator with the Sobolev norm of integer orders

Phillip Harrington, Bingyuan Liu

Let $Ω \subset C^{m}$ be a bounded pseudoconvex domain with smooth boundary. For each $k \in N$ , we give a sufficient condition to estimate the $\partial ˉ$ -Neumann o…

math.CV2019

Strong Closed Range Estimates: Necessary Conditions and Applications

Phillip S. Harrington, Andrew Raich

The $L^{2}$ theory of the $\partial ˉ$ operator on domains in $C^{n}$ is predicated on establishing a good basic estimate. Typically, one proves not a single basic estimate…

On Competing Definitions for the Diederich-Fornæss Index

The ∂ˉ-Neumann operator with the Sobolev norm of integer orders

Strong Closed Range Estimates: Necessary Conditions and Applications

The $\partial ˉ$ -Neumann operator with the Sobolev norm of integer orders