# Radial Variation of Bloch functions on the unit ball of $\mathbb{R}^d$

## TL;DR

This paper extends variational estimates for Bloch functions on the unit ball in higher dimensions, building upon prior work related to the Anderson conjecture for conformal maps in the unit disc.

## Contribution

It introduces new variational estimates for Bloch functions in $\,\mathbb{R}^d$, generalizing previous results from the complex plane to higher dimensions.

## Key findings

- Extended variational estimates for Bloch functions in higher dimensions
- Connections established with the Anderson conjecture for conformal maps
- Generalization of prior results from the unit disc to $\,\mathbb{R}^d$

## Abstract

We provide variational estimates for Bloch functions on the unit ball of $\mathbb{R}^d$ extending previous work on the Anderson conjecture for conformal maps on the unit disc.