Analytic geometry on compacta in Cn.
Upper semicontinuity of automorphism groups.
Fundamental solutions of the complex Monge-Ampère equation
We prove that any positive function on ℂℙ¹ which is constant outside a countable -set is the order function of a fundamental solution of the complex Monge-Ampère equation on the unit ball in ℂ² with a singularity at the origin.
On weighted Hardy spaces on the unit disk
In this paper we completely characterize those weighted Hardy spaces that are Poletsky-Stessin Hardy spaces . We also provide a reduction of problems to problems and demonstrate how such a reduction can be used to make shortcuts in the proofs of the interpolation theorem and corona problem.
Reverse Markov inequality.
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