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 2011Show all

2 papers · 1 filter

math.DG2011

Defining Functions for Unbounded $C^{m}$ Domains

Phillip Harrington, Andrew Raich

For a domain $Ω \subset R^{n}$ , we introduce the concept of a uniformly $C^{m}$ defining function. We characterize uniformly $C^{m}$ defining functions in terms of the signed dista…

math.CV2011★ 3 cited

Closed Range for $\partial ˉ$ and $\partial ˉ_{b}$ on Bounded Hypersurfaces in Stein Manifolds

Phillip Harrington, Andrew Raich

We define weak $Z (q)$ , a generalization of $Z (q)$ on bounded domains $Ω$ in a Stein manifold $M^{n}$ that suffices to prove closed range of $\partial ˉ$ . Under the hypothesis of we…

Defining Functions for Unbounded Cm Domains

Closed Range for ∂ˉ and ∂ˉb​ on Bounded Hypersurfaces in Stein Manifolds

Defining Functions for Unbounded $C^{m}$ Domains

Closed Range for $\partial ˉ$ and $\partial ˉ_{b}$ on Bounded Hypersurfaces in Stein Manifolds