Maximal estimates for stochastic convolutions in 2-smooth Banach spaces and applications to stochastic evolution equations

TL;DR

This paper surveys maximal inequalities for stochastic convolutions in 2-smooth Banach spaces and discusses their applications to stochastic evolution equations.

Contribution

It provides a comprehensive overview of maximal inequalities in 2-smooth Banach spaces and explores their use in stochastic evolution equations.

Findings

Maximal inequalities are established for stochastic convolutions in 2-smooth Banach spaces.

Applications to stochastic evolution equations are demonstrated.

The survey consolidates existing results and highlights future research directions.

Abstract

This paper presents a survey of maximal inequalities for stochastic convolutions in $2$-smooth Banach spaces and their applications to stochastic evolution equations.