Work

Singular integrals and a problem on mixing flows

Year: 2016

Type: preprint

Abstract: We prove a result related to Bressan's mixing problem. We establish an inequality for the change of Bianchini semi-norms of characteristic functions under the flow generated by a divergence free time dependent vector field. The approach leads to a bilinear singular integral operator for which we prove bounds on Hardy spaces. We include additional observations about the approach and a discrete toy version of Bressan's problem.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1612.03431

Authors: Hadžić, Mahir, Seeger, Andreas, Smart, Charles K., Street, Brian

Institutions: King's College London, University of Wisconsin–Madison, University of Chicago

Language: English

Topic: Advanced Harmonic Analysis Research

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2952651153

Cites: 14

Cited by: 1

Related to: 20