The boundedness of Bessel-Riesz operators on generalized Morrey spaces
M. Idris, H. Gunawan, and Eridani
TL;DR
This paper establishes the boundedness of Bessel-Riesz operators on generalized Morrey spaces using dyadic decomposition, Hedberg-type inequalities, and maximal operator bounds, showing the operator norm is controlled by the kernel norm.
Contribution
It provides a new boundedness result for Bessel-Riesz operators on generalized Morrey spaces, extending previous understanding in harmonic analysis.
Findings
Boundedness of Bessel-Riesz operators on generalized Morrey spaces.
Operator norm is dominated by the kernel norm.
Uses dyadic decomposition and Hedberg-type inequalities.
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.