The purpose of this note is to present an anisotropic variant of the BMO-type norm introduced in [4] and to show its relation with a surface measure, which is indeed a multiple of the perimeter in the isotropic case. This is done in the spirit of the new characterization of the perimeter of a measurable set in Rn recently studied by Ambrosio, Bourgain, Brezis and Figalli in [2].
Comi G.E. (2018). BMO-type norms and anisotropic surface measures. ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI, 29(3), 431-437 [10.4171/RLM/815].
BMO-type norms and anisotropic surface measures
Comi G. E.
2018
Abstract
The purpose of this note is to present an anisotropic variant of the BMO-type norm introduced in [4] and to show its relation with a surface measure, which is indeed a multiple of the perimeter in the isotropic case. This is done in the spirit of the new characterization of the perimeter of a measurable set in Rn recently studied by Ambrosio, Bourgain, Brezis and Figalli in [2].File in questo prodotto:
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