# SELECTED PROBLEMS IN CLASSICAL FUNCTION THEORY

@inproceedings{Bnteau2014SELECTEDPI,
title={SELECTED PROBLEMS IN CLASSICAL FUNCTION THEORY},
author={Catherine B{\'e}n{\'e}teau and Dmitry Khavinson},
year={2014}
}
• Published 2014
• Mathematics
We discuss several problems in classical complex analysis that might appeal to graduate students and young researchers. Among them are possible extensions to multiply connected domains of the Neuwirth-Newman theorem regarding analytic functions with positive boundary values, characterizing domains by properties of best approximations of z by analytic functions in various metrics, and sharpening the celebrated Putnam inequality in the context of Toeplitz operators on Bergman spaces and the…
2 Citations
Three Problems in Operator Theory and Complex Analysis
OF THE DISSERTATION Three Problems in Operator Theory and Complex Analysis by Cheng Chu Doctor of Philosophy in Mathematics, Washington University in St. Louis, 2016. Professor John McCarthy, Chair
Isoperimetric inequalities for Bergman analytic content
• Mathematics
Indiana University Mathematics Journal
• 2020
The Bergman $p$-analytic content ($1\leq p<\infty$) of a planar domain $\Omega$ measures the $L^{p}(\Omega )$-distance between $\overline{z}$ and the Bergman space $A^{p}(\Omega )$ of holomorphic

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