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math.FA2010
A thin-thick Decomposition for Hardy Martingales
Paul F. X. Mueller
We prove thin-thick decompositions, for the class of Hardy martingales and thereby strengthen its square function characterization. We apply the underlying method to several classi…
math.FA2010★ 5 cited
A Representation Theorem for Singular Integral Operators on Spaces of Homogeneous Type
Paul F. X. Mueller, Markus Passenbrunner
Let (X,d,μ) be a space of homogeneous type and E a UMD Banach space. Under the assumption mu({x})=0 for all x in X, we prove a representation theorem for singular integral operator…