Extensions and corona decompositions of low-dimensional intrinsic Lipschitz graphs in Heisenberg groups
Extensions and corona decompositions of low-dimensional intrinsic Lipschitz graphs in Heisenberg groups
Abstract This note concerns low-dimensional intrinsic Lipschitz graphs, in the sense of Franchi, Serapioni, and Serra Cassano, in the Heisenberg group $${\mathbb {H}}^n$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mrow> <mml:mi>H</mml:mi> </mml:mrow> <mml:mi>n</mml:mi> </mml:msup> </mml:math> , $$n\in {\mathbb {N}}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>n</mml:mi> <mml:mo>∈</mml:mo> <mml:mi>N</mml:mi> </mml:mrow> </mml:math> . For $$1\leqslant k\leqslant n$$ <mml:math …