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- W4220784545 abstract "Abstract We show that the β-numbers of intrinsic Lipschitz graphs of Heisenberg groups <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:msub> <m:mi>ℍ</m:mi> <m:mi>n</m:mi> </m:msub> </m:math> {mathbb{H}_{n}} are locally Carleson integrable when <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:mrow> <m:mi>n</m:mi> <m:mo>≥</m:mo> <m:mn>2</m:mn> </m:mrow> </m:math> {ngeq 2} . Our main bound uses a novel slicing argument to decompose intrinsic Lipschitz graphs into graphs of Lipschitz functions. A key ingredient in our proof is a Euclidean inequality that bounds the β-numbers of the original graph in terms of the β-numbers of many families of slices. This allows us to use recent work of Fässler and Orponen (2020) which asserts that Lipschitz functions satisfy a Dorronsoro inequality." @default.
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- W4220784545 date "2022-01-27" @default.
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- W4220784545 title "The strong geometric lemma for intrinsic Lipschitz graphs in Heisenberg groups" @default.
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- W4220784545 doi "https://doi.org/10.1515/crelle-2021-0080" @default.
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