Lebesgue Space Estimates for Spherical Maximal Functions on Heisenberg Groups
نویسندگان
چکیده
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 endpoints. The results can be applied improve currently known bounds on sparse domination global operators. also consider lacunary variants and extensions Métivier groups.
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ژورنال
عنوان ژورنال: International Mathematics Research Notices
سال: 2021
ISSN: ['1687-0247', '1073-7928']
DOI: https://doi.org/10.1093/imrn/rnab246