Conditions for stochastic integrability in UMD Banach spaces

zbMath1139.46009arXiv0805.1458MaRDI QIDQ5443972

Lutz W. Weis, Mark C. Veraar, J. M. A. M. van Neerven

Publication date: 22 February 2008

Full work available at URL: https://arxiv.org/abs/0805.1458

zbMATH Keywords

vector-valued Besov spaces\(\gamma\)-radonifying operatorscylindrical Brownian motionstochastic integration in UMD Banach spacesapproximation with elementary processes

Mathematics Subject Classification ID

Stochastic integrals (60H05) Probabilistic methods in Banach space theory (46B09)

Related Items (8)

Stochastic maximal \(L^{p}\)-regularity ⋮ Backward stochastic evolution inclusions in UMD Banach spaces ⋮ Weak characterizations of stochastic integrability and Dudley's theorem in infinite dimensions ⋮ Stochastic evolution equations in UMD Banach spaces ⋮ Global existence and analyticity of mild solutions for the stochastic Navier-Stokes-Coriolis equations in Besov spaces ⋮ Stochastic maximal regularity for rough time-dependent problems ⋮ Stochastic integration with respect to fractional processes in Banach spaces ⋮ Local and global strong solutions to the stochastic incompressible Navier-Stokes equations in critical Besov space

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