# Sparse bounds for a prototypical singular Radon transform

**Authors:** Richard Oberlin

arXiv: 1704.04297 · 2019-08-15

## TL;DR

This paper establishes sparse bounds for a class of model singular Radon transforms, improving understanding of their boundedness properties in harmonic analysis.

## Contribution

It introduces a new variant of an existing technique to obtain sparse bounds for singular Radon transforms with logarithmic factors.

## Key findings

- Established sparse L^p(log L)^4 bounds for the transforms
- Extended sparse bounds to a class of model singular Radon transforms
- Enhanced techniques for analyzing singular integral operators

## Abstract

We use a variant of the technique in [Lac17a] to give sparse L^p(log(L))^4 bounds for a class of model singular and maximal Radon transforms

## Full text

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## References

15 references — full list in the complete paper: https://tomesphere.com/paper/1704.04297/full.md

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Source: https://tomesphere.com/paper/1704.04297