Perimeter of sets and BMO-type norms
نویسندگان
چکیده
منابع مشابه
Perimeter of sets and BMO-type norms
Article history: Received 10 July 2014 Accepted 10 July 2014 Available online xxxx Presented by Haïm Brezis The aim of this note is to announce some recent results showing that an isotropic variant of the BMO-type norm introduced in [3] can be related via a precise formula to the perimeter of sets. © 2014 Published by Elsevier Masson SAS on behalf of Académie des sciences.
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In this paper we consider an isotropic variant of the BMO-type norm recently introduced in [6]. We prove that, when considering characteristic functions of sets, this norm is related to the perimeter. A byproduct of our analysis is a new characterization of the perimeter of sets in terms of this norm, independent of the theory of distributions.
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Copyright q 2010 Yuxia Tong et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. We first define a new kind of A λ3 r λ 1 , λ 2 , ΩΩ two-weight, then obtain some two-weight integral inequalities with Lipschitz norm and BMO norm ...
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چکیده ندارد.
Weighted Inequalities for Potential Operators with Lipschitz and BMO Norms
Some Lipschitz norm and BMO norm inequalities for potential operator to the versions of differential forms are obtained, and some properties of a new kind of A λ3 r λ 1 , λ 2 , ΩΩ weight are derived.
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ژورنال
عنوان ژورنال: Comptes Rendus Mathematique
سال: 2014
ISSN: 1631-073X
DOI: 10.1016/j.crma.2014.07.001