1 citations · 2 across the 4 of their papers we have counts for
5 papers
Generalizations of the higher dimensional Suita conjecture and its relation with a problem of Wiegerinck
Wlodzimierz Zwonek, Zbigniew Blocki
We generalize the inequality being a counterpart of the several complex variables version of the Suita conjecture. For this aim higher order generalizations of the Bergman kernel a…
On a Monge-Ampère operator for plurisubharmonic functions with analytic singularities
Mats Andersson, Zbigniew Błocki, Elizabeth Wulcan
We study continuity properties of generalized Monge-Ampère operators for plurisubharmonic functions with analytic singularities. In particular, we prove continuity for a natural cl…
One dimensional estimates for the Bergman kernel and logarithmic capacity
Zbigniew Błocki, Włodzimierz Zwonek
Carleson showed that the Bergman space for a domain on the plane is trivial if and only if its complement is polar. Here we give a quantitative version of this result. One is the S…
Squares of positive -forms
Zbigniew Blocki, Szymon Plis
We show that if is a positive -form then so is . We also prove that this is no longer true for forms of higher degree.
A local regularity for the complex Monge-Ampère equation
Zbigniew Blocki, Slawomir Dinew
We prove a local regularity (and a corresponding a priori estmate) for plurisubharmonic solutions of the nondegenerate complex Monge-Ampére equation assuming that their -n…