ScholarLens Back to search
2021•ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZEOpen access

The circular maximal operator on Heisenberg radial functions

David Beltran, Shaoming Guo, Jonathan Hickman, Andreas Seeger

Open full text 3 citations

Abstract

Lebesgue space estimates are obtained for the circular maximal function on the Heisenberg group H 1 restricted to a class of Heisenberg radial functions.Under this assumption, the problem reduces to studying a maximal operator on the Euclidean plane.This operator has a number of interesting features: it is associated to a non-smooth curve distribution and, furthermore, fails both the usual rotational curvature and cinematic curvature conditions.

Open-access reader

About this research paper

What this paper is about

Lebesgue space estimates are obtained for the circular maximal function on the Heisenberg group H 1 restricted to a class of Heisenberg radial functions.Under this assumption, the problem reduces to studying a maximal operator on the Euclidean plane.This operator has a number of interesting features: it is associated to a non-smooth curve distribution and, furthermore, fails both the usual rotational curvature and cinematic curvature conditions.

Why it matters

OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Lebesgue space estimates are obtained for the circular maximal function on the Heisenberg group H 1 restricted to a class of Heisenberg radial functions.Under this assumption, the problem reduces to studying a maximal operator on the Euclidean plane.This operator has a number of interesting features: it is associated to a non-smooth curve distribution and, furthermore, fails both the usual rotational curvature and cinematic curvature conditions.

Key concepts: Heisenberg group, Mathematics, Euclidean space, Operator (biology), Curvature, Mathematical analysis, Euclidean geometry, Space (punctuation)

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
The circular maximal operator on Heisenberg radial functions — Research Paper | ScholarLens