Inner Functions in Hardy Sobolev spaces
Artur Nicolau
Universitat Autònoma de Barcelona
http://mat.uab.es/~artur/
Date(s) : 21/03/2016 iCal
10h00 - 11h00
In the seventies and eighties, Ahern, Clark, Cohn ans others proved several nice results on inner functions in Hardy Sobolev spaces or equivalently, in certain Besov spaces. The behavior of such functions is related to the behavior of sums of Poisson kernels. We will show that for $p>1/2$, one can describe the inner functions whose derivative is in the Hardy space $H^p$ in terms of the geometric location of its zeros. This is joint work, still in progress, with Janne Gröhn.
https://arxiv.org/abs/1606.08467
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