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

11 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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