The boundedness of Bessel-Riesz operators on generalized Morrey spaces
Analysis of PDEs
2017-11-22 v1
Abstract
In this paper, we prove the boundedness of Bessel-Riesz operators on generalized Morrey spaces. The proof uses the usual dyadic decomposition, a Hedberg-type inequality for the operators, and the boundedness of Hardy-Littlewood maximal operator. Our results reveal that the norm of the operators is dominated by the norm of the kernels.
Keywords
Cite
@article{arxiv.1605.06723,
title = {The boundedness of Bessel-Riesz operators on generalized Morrey spaces},
author = {M. Idris and H. Gunawan and Eridani},
journal= {arXiv preprint arXiv:1605.06723},
year = {2017}
}
Comments
10 pages