Smoothing Properties of the Friedrichs Operator on L^p spaces

2017/09/01 by Liwei Chen, Chen, Liwei, Yunus E. Zeytuncu +1
Mathematics · #Algebraic and Geometric Analysis #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.1709.00238

openalex publication_date 2017/09/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that the Friedrichs operator exhibits smoothing properties in the L^p scale. In particular we prove that on any smoothly bounded pseudoconvex domain the Friedrichs operator maps A²(Ω) to A^p(Ω) for some p>2.

Citations

• Weighted Bergman Projections on the Hartogs Triangle: Exponential Decay
• L^p Mapping Properties for the Cauchy-Riemann Equations on Lipschitz\n Domains Admitting Subelliptic Estimates

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