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Complex Analysis and Geometry Seminar

Extension domains for classes of functions of bounded and vanishing mean oscillation

Galia Dafni (Concordia University)

Location:  Zoom
Date & time: Friday, 30 April 2021 at 10:30AM - 11:30AM

Jones (1980) identified extension domains for BMO with uniform domains.  In joint work with Almaz Butaev, we show the analogous result for classes of functions of vanishing mean oscillation, and for the nonhomogeneous BMO space defined by Goldberg.  In the latter case we identify the extension domains with the epsilon-delta domains used in Jones' extension theorem for Sobolev spaces, which can be considered as local versions of uniform domains.

Meeting ID: 994 4665 8309
Passcode: 718058

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