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1.When equipped with 2-rough norm and restricted to continuous paths withbounded variation, the area operator is a closable unbounded operator. 2.Thearea defined through Riemann-Stieltjes integral is the only possible candidateto 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 scalecontinuity.

Notes on area operator, geometric 2-rough paths and Young integral when p^-1+q^-1=1