Phillip S. Harrington Data-verified
Affiliation confirmed via AI analysis of OpenAlex, ORCID, and web sources.
Professor
faculty
Research Areas
Links
Biography and Research Information
OverviewAI-generated summary
Phillip S. Harrington's research focuses on complex analysis and partial differential equations, particularly the $\overline{\partial}$-Neumann problem and related operators on various types of domains in complex manifolds. His work investigates properties such as Sobolev regularity of the Bergman projection and the Diederich–Fornæss index, exploring conditions for these properties on domains with minimal smoothness and in Hermitian manifolds. Harrington has published extensively in these areas, with recent work appearing in journals in 2021, 2022, and with publications projected for 2025. His scholarship metrics include an h-index of 10, with 57 total publications and 341 citations. He has collaborated with Andrew Raich at the University of Arkansas at Fayetteville on multiple publications.
Metrics
- h-index: 10
- Publications: 56
- Citations: 332
Selected Publications
-
The ∂-problem on Z(q)-domains (2026)
-
Sobolev regularity of the Bergman projection on a smoothly bounded Stein domain that is not hyperconvex (2025)
-
Sobolev Regularity for the Bergman Projection on Relatively Compact Domains in Hermitian Manifolds (2025)
-
Maximal Estimates for the $${\bar{\partial }}$$-Neumann Problem on Non-pseudoconvex Domains (2024)
-
Boundary invariants and the closed range property for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mover accent="true"><mml:mrow><mml:mo>∂</mml:mo></mml:mrow><mml:mrow><mml:mo stretchy="false">¯</mml:mo></mml:mrow></mml:mover></mml:math> (2022)
-
On competing definitions for the Diederich–Fornæss index (2022)
-
Strong closed range estimates: necessary conditions and applications (2022)
-
A Modified Morrey-Kohn-Hörmander Identity and Applications to the $$\overline{\partial }$$-Problem (2021)
-
Exact sequences and estimates for the $$\overline{\partial }$$-problem (2021)
Collaboration Network
Top Collaborators
- Strong closed range estimates: necessary conditions and applications
- Boundary invariants and the closed range property for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mover accent="true"><mml:mrow><mml:mo>∂</mml:mo></mml:mrow><mml:mrow><mml:mo stretchy="false">¯</mml:mo></mml:mrow></mml:mover></mml:math>
- Maximal Estimates for the $\bar\partial$-Neumann Problem on Non-pseudoconvex domains
- The $\bar\partial$-problem on $Z(q)$-domains
- Maximal Estimates for the $${\bar{\partial }}$$-Neumann Problem on Non-pseudoconvex Domains
- A Modified Morrey-Kohn-Hörmander Identity and Applications to the $$\overline{\partial }$$-Problem
- A Modified Morrey-Kohn-Hormander Identity and Applications to the (partial derivative)over-bar-Problem
- The $\bar\partial$-problem on $Z(q)$-domains