2 papers
math.PR2026
Banach spaces of continuous paths with finite -th variation
Purba Das, Donghan Kim, Fang Rui Lim
We study pathwise -th variation of continuous paths on a compact interval along a fixed partition sequence. Although the class of continuous paths with finite -th variation i…
math.PR2025
On isomorphism of the space of continuous functions with finite -th variation along a partition sequence
Purba Das, Donghan Kim
We study the concept of (generalized) -th variation of a real-valued continuous function along a general class of refining sequence of partitions. We show that the finiteness of…