Dunkl-Hausdorff operator on weighted Orlicz spaces
Megha Madan, Arun Pal Singh, Monika Singh
TL;DR
This paper characterizes the conditions under which the Dunkl-Hausdorff operator satisfies modular and norm inequalities within weighted Orlicz spaces, focusing on non-negative non-increasing functions.
Contribution
It provides a new characterization of the Dunkl-Hausdorff operator's boundedness in weighted Orlicz spaces, extending previous results to this specific functional framework.
Findings
Established necessary and sufficient conditions for inequalities
Extended analysis to weighted Orlicz spaces
Focused on non-negative non-increasing functions
Abstract
We characterize the modular and norm inequalities for the Dunkl-Hausdorff operator defined on non-negative non-increasing functions in the framework of the weighted Orlicz spaces.
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.
Taxonomy
TopicsMathematical Analysis and Transform Methods · Approximation Theory and Sequence Spaces