Large deviations for Hilbert space valued Wiener processes: a sequence space approach

TL;DR

This paper provides an alternative proof of the large deviation principle for Hilbert space valued Wiener processes by leveraging Ciesielski's isomorphism, connecting function spaces and sequence spaces.

Contribution

It introduces a novel sequence space approach to establish large deviations for Hilbert space valued Wiener processes, offering a new perspective and proof technique.

Findings

Alternative proof of large deviation principle for Hilbert space Wiener processes

Utilization of Ciesielski's isomorphism to connect function and sequence spaces

Simplification of large deviation analysis through sequence space methods

Abstract

Ciesielski's isomorphism between the space of alpha-H\"older continuous functions and the space of bounded sequences is used to give an alternative proof of the large deviation principle for Wiener processes with values in Hilbert space.