Lebesgue points and capacities via the boxing inequality in metric spaces

85 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Pointwise properties of functions of bounded variation in metric spaces (2014, background): “The set of non-Lebesgue points of a classical Sobolev function is a set of measure zero with respect the Hausdorff measure of codimension one and this holds true also in metric spaces supporting a doubling measure and a Poincaré inequality, see [11] and [12].”
The BV-capacity in metric spaces (2010, methodology): “To this end, we need the following modified version of the boxing inequality, see [12], [8] and [19].”