An extension of the stochastic sewing lemma and applications to fractional stochastic calculus
Toyomu Matsuda,
Nicolas Perkowski
Abstract:We give an extension of Lê’s stochastic sewing lemma. The stochastic sewing lemma proves convergence in
$L_m$
of Riemann type sums
$\sum _{[s,t] \in \pi } A_{s,t}$
for an adapted two-parameter stochastic process A, under certain conditions on the moments of
$A_{s,t}$
and of conditional expectations of
$A_{s,t}$
given
$\mathcal F_s$
. Our extension replaces the con… Show more
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