Liwei Chen

most citedProduct domains, Multi-Cauchy transforms, and the

\partial ˉ

equation

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.CV2019★ 1 cited

Product domains, Multi-Cauchy transforms, and the $\partial ˉ$ equation

Liwei Chen, Jeffery D. McNeal

Solution operators for the equation $\partial ˉ u = f$ are constructed on general product domains in $C^{n}$ . When the factors are one-dimensional, the operator is a simple…

math.CV2019

$L^{p}$ regularity of the Bergman Projection on domains covered by the polydisk

Liwei Chen, Steven G. Krantz, Yuan Yuan

If a bounded domain can be covered by the polydisk through a rational proper holomorphic map, then the Bergman projection is $L^{p}$ -bounded for $p$ in a certain range depending on t…

math.CV2017

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

Liwei Chen, Yunus E. Zeytuncu

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 operat…

Product domains, Multi-Cauchy transforms, and the ∂ˉ equation

Lp regularity of the Bergman Projection on domains covered by the polydisk

Smoothing Properties of the Friedrichs Operator on Lp spaces

Product domains, Multi-Cauchy transforms, and the $\partial ˉ$ equation

$L^{p}$ regularity of the Bergman Projection on domains covered by the polydisk

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