Martingale Transforms, the Dyadic Shift and the Hilbert Transform: a Sufficient Condition for Boundedness between Matrix Weighted Spaces
نویسنده
چکیده
I fhI is the respective Haar coefficient, and σ(I) = ±1. This operator, which we denote by Tσ, is a dyadic martingale transform. The martingale transform is bounded as an operator on L(R,C). We want to find a condition on matrix weights, U and V , that implies that all martingale transforms are uniformly bounded as operators from L(R,C, V ) to L(R,C, U) where L(R,C, V ) is the space of functions f such
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