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math.CV2017
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…
math.CV2017
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…