A framework for fractional Hardy inequalities
Bart{\l}omiej Dyda, Antti V. V\"ah\"akangas
TL;DR
This paper introduces a comprehensive framework for fractional Hardy inequalities, encompassing various types such as those related to Le9vy processes and irregular open sets, advancing the theoretical understanding of these inequalities.
Contribution
It presents a unified framework that generalizes fractional Hardy inequalities, including new classes related to Dirichlet forms and weighted inequalities on irregular domains.
Findings
Framework covers fractional inequalities for Le9vy processes
Includes weighted inequalities on irregular open sets
Advances theoretical understanding of fractional Hardy inequalities
Abstract
We provide a general framework for fractional Hardy inequalities. Our framework covers, for instance, fractional inequalities related to the Dirichlet forms of some L\'evy processes, and weighted fractional inequalities on irregular open sets.
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 · Nonlinear Partial Differential Equations · Mathematical Approximation and Integration