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LOGARITHMIC GROWTH FOR MATRIX MARTINGALE TRANSFORMS
T. A. GILLESPIE, S. POTT, S. TREIL, A. VOLBERG
Source record
Source: Crossref
Published: Dec 1, 2001
DOI: 10.1112/s0024610701002599
Open original source ↗Source abstract
An example is given of an operator weight W that satisfies the dyadic operator Hunt–Muckenhoupt–Wheeden condition [Aopf ] d 2 for which there exists a dyadic martingale transform on L 2 ( W ) that is unbounded. The construction relates weighted boundedness to the boundedness of dyadic vector Hankel operators.
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