Show that (F:=left{w in mathcal{C}_{(0)}[0,1]: sup _{q^{-1} leqslant c leqslant 1} sup _{0 leqslant r leqslant 1}|w(c

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Show that $F:=\left\{w \in \mathcal{C}_{(0)}[0,1]: \sup _{q^{-1} \leqslant c \leqslant 1} \sup _{0 \leqslant r \leqslant 1}|w(c r)-w(r)| \geqslant 1ight\}$ is for every $q>1$ a closed subset of $\mathcal{C}_{(0)}[0,1]$.

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Brownian Motion A Guide To Random Processes And Stochastic Calculus De Gruyter Textbook

ISBN: 9783110741254

3rd Edition

Authors: René L. Schilling, Björn Böttcher

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Question Posted: Mar 17, 2024 01:00 AM

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Show that (F:=left{w in mathcal{C}_{(0)}[0,1]: sup _{q^{-1} leqslant c leqslant 1} sup _{0 leqslant r leqslant 1}|w(c

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Brownian Motion A Guide To Random Processes And Stochastic Calculus De Gruyter Textbook

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