Autor:	Lahti, Panu
Rok vydání:	2021
Předmět:	Mathematics - Functional Analysis Mathematics - Metric Geometry boundary trace rough trace function of bounded variation metric measure space integrability extension
Druh dokumentu:	Working Paper
Popis:	In metric measure spaces, we study boundary traces of BV functions in domains equipped with a doubling measure and supporting a Poincar\'e inequality, but possibly having a very large and irregular boundary. We show that the trace exists in the ordinary sense in a certain part of the boundary, and that this part is sufficient to determine the integrability of the rough trace, as well as the possibility of zero extending the function to the whole space as a BV function.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2107.06588 Zobrazit plný text záznamu View this record from Arxiv