$\gamma$-Radonifying operators -- a survey

Abstract

We present a survey of the theory of $\gamma$-radonifying operators and their applications to stochastic integration in Banach spaces.

Revised and slightly extended version

References in corpus (1)

• Conical square function estimates in UMD Banach spaces and applications to H-infinity functional calculi

Cited by in corpus (19)

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• Paley-Littlewood decomposition for sectorial operators and interpolation spaces
• On a Class of Martingale Problems on Banach Spaces
• Square functions in the Hermite setting for functions with values in UMD spaces
• Functional calculus for semigroup generators via transference
• Stability theory for semigroups using $(L^p,L^q)$ Fourier multipliers
• Maximal estimates for stochastic convolutions in 2-smooth Banach spaces and applications to stochastic evolution equations
• Wentzell-Freidlin Large Deviation Principle for the stochastic convective Brinkman-Forchheimer equations
• Square Function Estimates and Functional Calculi
• The stochastic Weiss conjecture for bounded analytic semigroups
• $\gamma$-radonifying operators and UMD-valued Littlewood-Paley-Stein functions in the Hermite setting on BMO and Hardy spaces
• Pathwise Holder convergence of the implicit Euler scheme for semi-linear SPDEs with multiplicative noise
• Conical square functions associated with Bessel, Laguerre and Schrödinger operators in UMD Banach spaces
• The microlocal irregularity of Gaussian noise
• Infinite dimensional portfolio representation as applied to model points selection in life insurance
• Characterization of Banach valued BMO functions and UMD Banach spaces by using Bessel convolutions
• A version of Hörmander's theorem in 2-smooth Banach spaces
• Smoothness of densities for path-dependent SDEs under Hörmander's condition
• On the fractional stochastic Navier-Stokes equations on the torus and on bounded domains