Subgraphs of BV functions on RCD spaces
Subgraphs of BV functions on RCD spaces
Abstract In this work, we extend classical results for subgraphs of functions of bounded variation in $$\mathbb R^n\times \mathbb R$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msup> <mml:mi>R</mml:mi> <mml:mi>n</mml:mi> </mml:msup> <mml:mo>×</mml:mo> <mml:mi>R</mml:mi> </mml:mrow> </mml:math> to the setting of $${\textsf{X}}\times \mathbb R$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>X</mml:mi> <mml:mo>×</mml:mo> <mml:mi>R</mml:mi> </mml:mrow> </mml:math> , where $${\textsf{X}}$$ <mml:math …