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Properties of Fixed Point Sets and a Characterization of the Ball in
Buma Fridman, Daowei Ma
We study the fixed point sets of holomorphic self-maps of a bounded domain in . Specifically we investigate the least number of fixed points in general position in the…
Characterization of the Hilbert ball by its Automorphisms
Kang-Tae Kim, Daowei Ma
We show in this paper that every domain in a separable Hilbert space, say $\cH$, which has a smooth strongly pseudoconvex boundary point at which an automorphism orbit accumu…
Perturbation of domains and automorphism groups
Buma L. Fridman, Daowei Ma
The paper is devoted to the description of changes of the structure of the holomorphic automorphism group of a bounded domain in under small perturbation of this domai…
Upper semicontinuity of the dimensions of automorphism groups of domains in
Buma L. Fridman, Daowei Ma, Evgeny A. Poletsky
Let be the metric space of all bounded domains in with the metric equal to the Hausdorff distance between boundaries of domains. We prove that the dimension of the grou…