d e r Vo l b e rgIt is well known that, for any such weight w, the martingale transforms are uniformly bounded on L 2 (w), that is, on the Hilbert space of measurable complex functions on R endowed with the scalar product f, g w := R f (x)g(x)w(x) dx.
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Dragičević et al. (2003) studied this question.
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