On the Tangential Traces of Curl-Measure Fields

Abstract

Curl-measure fields are $p$-integrable vector fields whose distributional curl is a vector-valued Radon measure with finite total variation. They were introduced in arXiv:2509.26465, where, for $p= \infty$, the existence of tangential traces for bounded Lipschitz domains was established, together with the tangential property of the trace. In this paper, we show that the same tangential property holds for domains that are sets of finite perimeter.