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Pointwise convergence of vector-valued Fourier series
Pointwise convergence vector-valued Fourier series Functional Analysis
2012/5/24
We prove a vector-valued version of Carleson's theorem: Let Y=[X,H]_t be a complex interpolation space between a UMD space X and a Hilbert space H. For p\in(1,\infty) and f\in L^p(T;Y), the partial su...
Vector-valued decoupling and the Burkholder-Davis-Gundy inequality
vector-valued decoupling inequalities tangent sequences UMD Banach spaces vector-valued stochastic integration
2011/9/2
Abstract: Let X be a Banach space. We prove p-independence of the one-sided decoupling inequality for X-valued tangent martingales as introduced by Kwapien and Woyczynski. It is known that a Banach sp...
Spheres with more than 7 vector fields: all the fault of Spin(9)
Spin(9) octonions vector fields on spheres
2011/8/24
Abstract: We give an interpretation in terms of the Lie group Spin(9) of the maximal number of linearly independent vector fields on odd dimensional spheres.
Jordanian double extensions of a quadratic vector space and symmetric Novikov algebras
Jordanian double extension 2-step nilpotent pseudo-Euclidean Jordan algebras
2011/2/28
First, we study pseudo-Euclidean Jordan algebras obtained as double extensions of a quadratic vector space by a one-dimensional algebra. We give an isomorphic characterization of 2-step nilpotent pseu...