Ontology type: schema:ScholarlyArticle Open Access: True
2021-12-14
AUTHORSTheresa C. Anderson, Laura Cladek, Malabika Pramanik, Andreas Seeger
ABSTRACTConsider the surface measure μ on a sphere in a nonvertical hyperplane on the Heisenberg group ℍn, n ≥ 2, and the convolution f * μ. Form the associated maximal function Mf = supt>0 ∣f * μt∣ generated by the automorphic dilations. We use decoupling inequalities due to Wolff and Bourgain—Demeter to prove Lp-boundedness of M in an optimal range. More... »
PAGES1-28
http://scigraph.springernature.com/pub.10.1007/s11854-021-0171-6
DOIhttp://dx.doi.org/10.1007/s11854-021-0171-6
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