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Blow-ups of minimal surfaces in the Heisenberg group

open access: yesAnalysis and Geometry in Metric Spaces
In this article, we revise Monti’s results on blow-ups of H-perimeter minimizing sets in Hn{{\mathbb{H}}}^{n}. Monti demonstrated that the Lipschitz approximation of the blow-up, after rescaling by the square root of the excess, converges to a limit ...
Yu Yonghao
doaj   +1 more source

Mikhlin-Type Hp Multiplier Theorem on the Heisenberg Group

open access: yesAxioms
The classical Fourier multiplier theorem by Mikhlin in Hardy spaces is extended to the Heisenberg group. The proof relies on the theories of atom and molecule functions and the property of special Hermite functions.
Jinsen Xiao, Jianxun He, Yingzhu Wu
doaj   +1 more source

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