Phillip S. Harrington Source Confirmed

Affiliation confirmed via AI analysis of OpenAlex, ORCID, and web sources.

Professor

University of Arkansas at Fayetteville

faculty

10 h-index 57 pubs 340 cited

Research Areas

Complex Analysis and Operator Theory Mathematical Analysis and Applications Differential Geometry Several Complex Variables

Links

ORCID Lab Website

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OverviewAI-generated summary

Phillip S. Harrington, Professor at the University of Arkansas at Fayetteville, conducts research in complex analysis, with a focus on the Diederich–Fornæss index and the $\overline{\partial}$-Neumann operator. His recent publications investigate Sobolev regularity for the Bergman projection on various domains, including smoothly bounded Stein domains and Hermitian manifolds. Harrington also studies boundary invariants, strong closed range estimates, and their applications to the $\overline{\partial}$-problem. His work explores the theoretical underpinnings of these operators, contributing to a deeper understanding of their properties and behavior in different mathematical settings. He has co-authored publications with collaborators such as Andrew Raich from the University of Arkansas at Fayetteville.

Metrics

  • h-index: 10
  • Publications: 57
  • Citations: 340

Selected Publications

  • Sobolev regularity of the Bergman projection on a smoothly bounded Stein domain that is not hyperconvex (2025) DOI
  • Sobolev Regularity for the Bergman Projection on Relatively Compact Domains in Hermitian Manifolds (2025) DOI
  • Maximal Estimates for the $${\bar{\partial }}$$-Neumann Problem on Non-pseudoconvex Domains (2024) DOI
  • 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) DOI
  • On competing definitions for the Diederich–Fornæss index (2022) DOI
  • Strong closed range estimates: necessary conditions and applications (2022) DOI
  • A Modified Morrey-Kohn-Hörmander Identity and Applications to the $$\overline{\partial }$$-Problem (2021) DOI
  • Exact sequences and estimates for the $$\overline{\partial }$$-problem (2021) DOI

Collaborators

Researchers in the database who share publications

Andrew Raich University of Arkansas at Fayetteville 5 shared publications Phil Harrington University of Arkansas at Fayetteville 1 shared publication