# Peak sets and boundary interpolation sets for the unit disc: a survey

## TL;DR

This survey reviews key results on peak sets and boundary interpolation sets in the unit disc, including new findings on peak sets for the Zygmund class by David C. Ullrich.

## Contribution

It compiles existing knowledge and introduces new unpublished results on peak sets for the Zygmund class, enhancing understanding of boundary interpolation in complex analysis.

## Key findings

- Unpublished results on peak sets for the Zygmund class
- Comprehensive overview of boundary interpolation sets
- Connections between peak sets and boundary behavior

## Abstract

This paper surveys results concerning peak sets and boundary interpolation sets for the unit disc. It includes hitherto unpublished results proved by David C. Ullrich on peak sets for the Zygmund class.