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math.CA2013★ 1 cited
Matrix weights, Littlewood Paley inequalities and the Riesz transforms
Nicholas Boros, Nikolaos Pattakos
We discuss weighted estimates for the squares of the Riesz transforms, R^{2}, on L^{2}(W) where W is a matrix A2 weight. We prove that if W is close to the Identity matrix Id, then…
math.CA2012
Some remarks on extrapolation with "flat" weights
Nicholas Boros, Nikolaos Pattakos, Alexander Volberg
We prove an extrapolation result for general operators under some weak assumptions on the boundedness of the operator. In particular, we show that if the operator is weakly bounded…
math.CA2011★ 1 cited
Sharp Lower bound estimates for vector-valued and matrix-valued multipliers in
Nicholas Boros, Alexander Volberg
We generalize the idea of a multiplier in two different ways and generalize a recent result of Geiss, Montomery-Smith and Saksman. First of all, we consider multipliers in the form…