Work

Averages of simplex Hilbert transforms

Year: 2020

Type: article

Abstract: We study a multilinear singular integral obtained by taking averages of simplex Hilbert transforms. This multilinear form is also closely related to Calderón commutators and the twisted paraproduct. We prove L p L^p bounds in dimensions two and three and give a conditional result valid in all dimensions.

Source: Proceedings of the American Mathematical Society

DOI: 10.1090/proc/15196

Authors: Polona Durcik, Joris Roos

Institutions: California Institute of Technology, Chapman University, University of Massachusetts Lowell, University of Wisconsin–Madison

Language: English

Topic: Advanced Harmonic Analysis Research

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2906901763

FWCI: 1.173

Cites:

Cited by: 4

Related to: