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An operator-valued Tb theorem
Authors:Tuomas P Hytönen
Institution:Department of Mathematics, University of Turku, FI-20014 Turku, Finland
Abstract:We establish conditions similar to the Tb theorem of David, Journé and Semmes which guarantee the boundedness of an integral transformation T with L(X)-valued kernel on View the MathML source, where 1<p<∞ and X is a Banach space with the unconditionality property of martingale differences (UMD).
Keywords:Calderó  n-Zygmund operator  Tb theorem  UMD space  Operator-valued kernel  R-boundedness
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