Lebesgue Space Estimates for Spherical Maximal Functions on Heisenberg Groups-Reference-Cited by-同舟云学术

Lebesgue Space Estimates for Spherical Maximal Functions on Heisenberg Groups

Published:2021-09-11 Issue: Volume: Page:
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Roos Joris¹,Seeger Andreas²,Srivastava Rajula²

Affiliation:

1. Department of Mathematical Sciences, University of Massachusetts Lowell, Lowell, MA 01854, USA, and School of Mathematics, The University of Edinburgh, Edinburgh EH9 3FD, UK

2. Department of Mathematics, University of Wisconsin, 480 Lincoln Drive, Madison, WI, 53706, USA

Abstract

Abstract We prove $L^p\to L^q$ estimates for local maximal operators associated with dilates of codimension two spheres in Heisenberg groups; these are sharp up to two endpoints. The results can be applied to improve currently known bounds on sparse domination for global maximal operators. We also consider lacunary variants and extensions to Métivier groups.

Funder

NSF

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/imrn/advance-article-pdf/doi/10.1093/imrn/rnab246/40347257/rnab246.pdf

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