S. Gardiner

will speak on

Isoperimetric inequalities for Bergman analytic content I

Time: 3:00PM
Date: Tue 14th November 2017
Location: SCN 125 [map]

Abstract: The analytic content of a plane domain measures the distance between
$\bar z$ and a given space of holomorphic functions on the domain. It has a
natural analogue in all dimensions which is formulated in terms of harmonic
vector fields. This talk will review known results about analytic content, and
then focus on the Bergman space of $L^p$ integrable holomorphic functions. It
will describe isoperimetric-type inequalities for Bergman p-analytic content
in terms of the St Venant functional for torsional rigidity, and address the
cases of equality with the upper and lower bounds. (This is joint work with
Marius Ghergu and Tomas Sjödin.)

(This talk is part of the Analysis series.)

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