Calculus of Variations and Geometric Measure Theory
home | mail | papers | authors | news | seminars | events | open positions | login

F. Farroni - S. Guarino Lo Bianco - R. Schiattarella

BMO-Type seminorms generating Sobolev functions

created by guarinolo on 23 Jan 2020
modified by farroni on 19 Apr 2021


Published Paper

Inserted: 23 jan 2020
Last Updated: 19 apr 2021

Journal: Journal of Mathematical Analysis and Applications
Year: 2020
Doi: 10.1016/j.jmaa.2020.124298


In the recent literature certain BMO-type seminorms provide characterizations of Sobolev functions. In the same order of ideas, we obtain the norm of the gradient of a function in $L^p(\Omega)$, where $\Omega\subset \mathbb R^n$, $n>1$ and $p>1$, as limit of BMO-type seminorms involving families of pairwise disjoint sets with arbitrary orientation, the sets being not necessarily cubes or tessellation cells. An analogous result is obtained when rotations are not allowed.


Credits | Cookie policy | HTML 5 | CSS 2.1