The fractional variation and the precise representative of BVα,p functions

Giovanni E. Comi, Daniel Spector, Giorgio Stefani*

*此作品的通信作者

研究成果: 雜誌貢獻期刊論文同行評審

2 引文 斯高帕斯(Scopus)

摘要

We continue the study of the fractional variation following the distributional approach developed in the previous works Bruè et al. (2021), Comi and Stefani (2019), Comi and Stefani (2019). We provide a general analysis of the distributional space BVα,p(Rn) of Lp functions, with p∈ [1 , + ∞] , possessing finite fractional variation of order α∈ (0 , 1). Our two main results deal with the absolute continuity property of the fractional variation with respect to the Hausdorff measure and the existence of the precise representative of a BVα,p function.

原文英語
頁(從 - 到)520-558
頁數39
期刊Fractional Calculus and Applied Analysis
25
發行號2
DOIs
出版狀態已發佈 - 2022 4月

ASJC Scopus subject areas

  • 分析
  • 應用數學

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