# Upper bounds for Fourier decay rates of fractal measures

## TL;DR

This paper establishes new upper bounds on the decay rates of Fourier transforms of fractal measures using spherical and parabolic averages, introducing an innovative 'intermediate dimension' approach.

## Contribution

It presents a novel method employing an 'intermediate dimension' trick to derive sharper upper bounds on Fourier decay rates for fractal measures.

## Key findings

- New upper bounds on Fourier decay rates
- Application of 'intermediate dimension' technique
- Improved understanding of fractal measure Fourier behavior

## Abstract

For spherical and parabolic averages of the Fourier transform of fractal measures, we obtain new upper bounds on rates of decay by an "intermediate dimension" trick.