# $l^p-l^q$ estimates of Bergman projector on the minimal ball

**Authors:** Jocelyn Gonessa

arXiv: 1901.06335 · 2019-01-21

## TL;DR

This paper investigates the boundedness of the Bergman projector between different L^p and L^q spaces on the minimal ball, improving previous results by Mengotti and Youssfi.

## Contribution

It provides new $L^p-L^q$ estimates for the Bergman projector on the minimal ball, advancing understanding of its boundedness properties.

## Key findings

- Established improved $L^p-L^q$ boundedness conditions
- Extended previous results by Mengotti and Youssfi
- Enhanced theoretical understanding of Bergman projections

## Abstract

We study the $L^p-L^q$ boundedness of Bergman projector on the minimal ball. This improves an important result of \cite{MY} due to G. Mengotti and E. H. Youssfi.

## Full text

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## References

11 references — full list in the complete paper: https://tomesphere.com/paper/1901.06335/full.md

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Source: https://tomesphere.com/paper/1901.06335