@article{oai:oist.repo.nii.ac.jp:00002667,
 author = {Comi, Giovanni E. and Spector, Daniel and Stefani, Giorgio},
 issue = {2},
 journal = {Fractional Calculus and Applied Analysis},
 month = {Apr},
 note = {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.},
 pages = {520--558},
 title = {The fractional variation and the precise representative of BV alpha,p functions},
 volume = {25},
 year = {2022}
}