23 citations · 48 across the 9 of their papers we have counts for
9 papers
Bergman projection on the symmetrized bidisk
Liwei Chen, Muzhi Jin, Yuan Yuan
We apply the Bekollé-Bonami estimate for the (positive) Bergman projection on the weighted spaces on the unit disk. As the consequences, we obtain the boundedness of the Berg…
Product domains, Multi-Cauchy transforms, and the equation
Liwei Chen, Jeffery D. McNeal
Solution operators for the equation are constructed on general product domains in . When the factors are one-dimensional, the operator is a simple…
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 -bounded for in a certain range depending on t…
A solution operator for on the Hartogs triangle and estimates
Liwei Chen, Jeffery McNeal
An integral solution operator for is constructed on product domains that include the punctured bidisc. This operator is shown to satisfy estimates for all $1\l…
Smoothing Properties of the Friedrichs Operator on spaces
Liwei Chen, Yunus E. Zeytuncu
We show that the Friedrichs operator exhibits smoothing properties in the scale. In particular we prove that on any smoothly bounded pseudoconvex domain the Friedrichs operat…
Weighted Bergman Projections on the Hartogs Triangle: Exponential Decay
Liwei Chen, Yunus E. Zeytuncu
We study weighted Bergman projections on the Hartogs triangle in . We show that projections corresponding to exponentially vanishing weights have degenerate map…