Smoothing Properties of the Friedrichs Operator on $L^p$ spaces

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 $A^2(\Omega )$ to $A^p(\Omega )$ for some $p>2$.

13 pages

References in corpus (1)

• Weighted Bergman Projections on the Hartogs Triangle: Exponential Decay