Intermittent oscillation and tangential growth of functions with respect to Nagel-Stein regions on a half-space (Q1320958)

A result on intermittent oscillation of functions of generalized bounded variation, consisting in a weak-type inequality satisfied by a corresponding maximal function, is obtained. This theorem is applied to the study of the intermittent growth of some integral transforms of Borel measures on \(\mathbb{R}^ n\) (direct and converse results). In this way the paper combines and develops some of the ideas stemming from the work of Samuelsson on intermittent concentration and growth, with those evolving from the work of Nagel and Stein on general approach sets, and that are thoroughly explained in the introduction of the paper.