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Lorist, E. (author)In this dissertation we develop vectorvalued harmonic analysis methods. Particular emphasis is put on the study of stochastic singular integral operators, which arise naturally in the study of SPDE.doctoral thesis 2021
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Nieraeth, Z. (author)The subject of this thesis is the study of the multilinear Muckenhoupt weight classes and the quantitative boundedness of operators with respect to these weights in both the scalarvalued and the vectorvalued setting. This includes the study of multisublinear HardyLittlewood maximal operators, sparse forms, and multilinear Rubio de Francia...doctoral thesis 2021
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Lindemulder, N. (author)This thesis is concerned with the maximal regularity problem for parabolic boundary value problems with inhomogeneous boundary conditions in the setting of weighted function spaces and related function space theoretic problems.<br/>This in particularly includes weighted $L_{q}$$L_{p}$maximal regularity but also weighted $L_{q}$maximal...doctoral thesis 2019
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Yaroslavtsev, I.S. (author)In this thesis we study martingales and stochastic integration of processes with<br/>values in UMD Banach spaces.doctoral thesis 2019
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Pronk, M. (author)In this thesis we study stochastic evolution equations in Banach spaces. We restrict ourselves to the two following cases. First, we consider equations in which the drift is a closed linear operator that depends on time and is random. Such equations occur as mathematical models in for instance mathematical finance and filtration theory. Second,...doctoral thesis 2013