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LOGARITHMIC GROWTH FOR MATRIX MARTINGALE TRANSFORMS
Published online by Cambridge University Press: 30 January 2002
Abstract
An example is given of an operator weight W that satisfies the dyadic operator Hunt–Muckenhoupt–Wheeden condition [Aopf ]d2 for which there exists a dyadic martingale transform on L2 (W) that is unbounded. The construction relates weighted boundedness to the boundedness of dyadic vector Hankel operators.
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- London Mathematical Society 2001
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