# Norm estimates for Bessel-Riesz operators on generalized Morrey spaces

## TL;DR

This paper refines the understanding of Bessel-Riesz operators' boundedness on generalized Morrey spaces, providing new norm estimates and revisiting fractional integral operators within this context.

## Contribution

It introduces improved proofs and norm estimates for Bessel-Riesz and fractional integral operators on generalized Morrey spaces, enhancing theoretical understanding.

## Key findings

- Established boundedness of Bessel-Riesz operators on generalized Morrey spaces.
- Provided explicit norm estimates for these operators.
- Reproved boundedness of fractional integral operators with new norm bounds.

## Abstract

We revisit the properties of Bessel-Riesz operators and refine the proof of the boundedness of these operators on generalized Morrey spaces using Young's inequality. We also obtain an estimate for the norm of these operators on generalized Morrey spaces. In addition, we reprove the boundedness of fractional integral operators on generalized Morrey spaces and estimate their norm.