The circular maximal operator on Heisenberg radial functions

David Beltran, Shaoming Guo, Jonathan Hickman, Andreas Seeger

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

Lebesgue space estimates are obtained for the circular maximal
function on the Heisenberg group H1 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.
Original languageEnglish
Number of pages49
JournalAnnali della Scuola Normale Superiore di Pisa, Classe di Scienze
Publication statusAccepted/In press - 11 Jan 2021


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