Norm inequalities in generalized Morrey spaces
Justin Feuto

TL;DR
This paper establishes the boundedness of various classical and singular integral operators, including Calderón-Zygmund and Marcinkiewicz operators, on generalized Morrey spaces, extending their applicability beyond weighted Morrey spaces.
Contribution
It introduces new boundedness results for a broad class of operators on generalized Morrey spaces, expanding the functional analytic framework for these operators.
Findings
Boundedness of Calderón-Zygmund operators on generalized Morrey spaces
Boundedness of Marcinkiewicz and maximal operators in this setting
Extension of operator boundedness to spaces with rough kernels and commutators
Abstract
We prove that Calder\'on-Zygmund operators, Marcinkiewicz operators, maximal operators associated to Bochner-Riesz operators, operators with rough kernel as well as commutators associated to these operators which are known to be bounded on weighted Morrey spaces under appropriate conditions, are bounded on a wide family of function 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
TopicsAdvanced Harmonic Analysis Research · Mathematical Analysis and Transform Methods · Mathematical Approximation and Integration
