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Analysis Seminar

SPEAKER: Christina Karafyllia (Stony Brook University)

TITLE: Conformal invariants and conformal mappings in Hardy and Bergman spaces

ABSTRACT: This talk is about some classical subjects in complex analysis and geometric function theory such as relations between conformal invariants and their connection to spaces of holomorphic functions. In particular, we will talk about some recent results on the harmonic measure and its connection with the hyperbolic distance on simply connected domains. We also present geometric conditions for a conformal mapping of the unit disk to belong to Hardy or Bergman spaces by studying the harmonic measure and the hyperbolic metric in the image region.

Wednesday, November 18, 2020 at 2:30pm to 3:30pm

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