We characterize intrinsic Lipschitz functions as maps which can be approximated by a sequence of smooth maps, with pointwise convergent intrinsic gradient. We also provide an estimate of the Lipschitz constant of an intrinsic Lipschitz function in terms of the TeX -norm of its intrinsic gradient
Smooth approximation for intrinsic Lipschitz functions in the Heisenberg group / Citti, Giovanna; Manfredini, Maria; Pinamonti, Andrea; Serra Cassano, Francesco. - In: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0944-2669. - 49:3/4(2014), pp. 1279-1308. [10.1007/s00526-013-0622-8]
Smooth approximation for intrinsic Lipschitz functions in the Heisenberg group
Maria Manfredini;
2014-01-01
Abstract
We characterize intrinsic Lipschitz functions as maps which can be approximated by a sequence of smooth maps, with pointwise convergent intrinsic gradient. We also provide an estimate of the Lipschitz constant of an intrinsic Lipschitz function in terms of the TeX -norm of its intrinsic gradient
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