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arxiv: 1709.00238 · v3 · pith:NBPAMXIDnew · submitted 2017-09-01 · 🧮 math.CV

Smoothing Properties of the Friedrichs Operator on L^p spaces

classification 🧮 math.CV
keywords friedrichsoperatoromegapropertiessmoothingboundeddomainexhibits
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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 $p>2$.

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