# Sharp anisotropic Hardy--Littlewood inequality for positive multilinear forms

## TL;DR

This paper establishes sharp anisotropic Hardy-Littlewood inequalities for positive multilinear forms using elementary methods, recovering a known inequality and contributing to the understanding of multilinear analysis.

## Contribution

It introduces a new proof technique for anisotropic inequalities, extending and sharpening previous results in multilinear analysis.

## Key findings

- Proved sharp anisotropic Hardy-Littlewood inequalities for positive multilinear forms.
- Recovered and generalized a 2018 inequality by F. Bayart.
- Demonstrated the effectiveness of elementary techniques in this context.

## Abstract

Using elementary techniques, we prove sharp anisotropic Hardy-Littlewood inequalities for positive multilinear forms. In particular, we recover an inequality proved by F. Bayart in 2018.