2012/03/31 by Danyu Yang, Yang, Danyu
Engineering · Mathematics · Physics and Astronomy · #Classical Analysis and ODEs (math.CA) #Electromagnetic Scattering and Analysis #FOS: Mathematics #Mathematical functions and polynomials #Numerical methods in engineering
paper · pdf · doi:10.48550/arxiv.1204.0112
openalex publication_date 2012/03/31 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
1.When equipped with 2-rough norm and restricted to continuous paths with bounded variation, the area operator is a closable unbounded operator. 2.The area defined through Riemann-Stieltjes integral is the only possible candidate to enhance a path with vanishing 2-variation into a geometric 2-rough path. 3.Young integral is extended to p-1+q-1=1 by assigning a finer scale continuity.