English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Open

In this paper we give some basic and important properties of several typicalBanach spaces of functions of $G$-Brownian motion pathes induced by a sublinearexpectation--G-expectation. Many results can be also applied to more generalsituations. A generalized version of Kolmogorov's criterion for continuousmodification of a stochastic process is also obtained. The results can beapplied to continuous time dynamic and coherent risk measures in finance inparticular for path-dependence risky positions under situations of volatilitymodel uncertainty.

Function spaces and capacity related to a Sublinear Expectation: application to G-Brownian Motion Pathes