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math.CA2012★ 3 cited
Continuity of weighted estimates for sublinear operators
Michael Papadimitrakis, Nikolaos Pattakos
In this note we prove that if a sublinear operator T satisfies a certain weighted estimate in the space for all , , then the operator norm of T…
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…