论文标题
嵌套分形的BV测量的振荡
Oscillations of BV measures on nested fractals
论文作者
论文摘要
本文由嵌套分形的界变化函数理论的最新发展进行了动力，本文研究了与与$ n $ complexes的工会相关的总变异度量相关的功能的确切渐近学。观察到的振荡行为意味着在这种情况下，BV措施的非唯一性。
Motivated by recent developments in the theory of bounded variation functions on nested fractals, this paper studies the exact asymptotics of functionals related to the total variation measure associated with unions of $n$-complexes. The oscillatory behavior observed implies the non-uniqueness of BV measures in this setting.
