Phillip S. Harrington
Affiliation confirmed via AI analysis of OpenAlex, ORCID, and web sources.
Professor
Also affiliated: University of South Dakota (2006–2008); Thi Qar University (2019)
Faculty Researcher
Research Areas
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Biography and Research Information
OverviewAI-generated summary
Phillip S. Harrington is a researcher at the University of Arkansas at Fayetteville whose work focuses on the mathematical analysis of complex operators and their applications. His recent publications investigate the Diederich–Fornæss index, compactness and subellipticity for the D-Bar Neumann operator, and Sobolev regularity for the Bergman projection on various types of domains. Harrington has also published on boundary invariants and the closed range property for the D-Bar operator, as well as necessary conditions and applications for strong closed range estimates. His research interests extend to the D-Bar problem on Z(q)-domains. With a career spanning over 50 publications, Harrington has garnered 335 citations and maintains an h-index of 10. He has collaborated with Andrew Raich on six shared publications.
Metrics
- h-index: 10
- Publications: 52
- Citations: 333
Selected Publications
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The ∂-problem on Z(q)-domains (2026)
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The ∂-problem on Z(q)-domains (2026)
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Sobolev regularity of the Bergman projection on a smoothly bounded Stein domain that is not hyperconvex (2025)
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Sobolev Regularity for the Bergman Projection on Relatively Compact Domains in Hermitian Manifolds (2025)
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Maximal Estimates for the $${\bar{\partial }}$$-Neumann Problem on Non-pseudoconvex Domains (2024)
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Boundary invariants and the closed range property for ∂¯ (2022)
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On competing definitions for the Diederich–Fornæss index (2022)
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Strong closed range estimates: necessary conditions and applications (2022)
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A Modified Morrey-Kohn-Hörmander Identity and Applications to the $$\overline{\partial }$$-Problem (2021)
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Exact sequences and estimates for the $$\overline{\partial }$$-problem (2021)
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The ∂¯-Neumann operator with Sobolev estimates up to a finite order (2020)
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Hartogs domains and the Diederich–Fornæss index (2019)
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Closed range of $$\overline \partial $$ on unbounded domains in ℂn (2019)
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The $\bar{\partial}$-Neumann operator with the Sobolev norm of integer orders (2019)
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<i>L</i><sup><i>p</i></sup> mapping properties for the Cauchy–Riemann equations on Lipschitz domains admitting subelliptic estimates (2018)
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 ∂-problem on Z(q)-domains
- A Modified Morrey-Kohn-Hörmander Identity and Applications to the $$\overline{\partial }$$-Problem
- Exact sequences and estimates for the $$\overline{\partial }$$-problem
- The ∂-problem on Z(q)-domains
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