Reduction of CalderON Commutators |
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| Authors: | Muhly Paul S; XIA JINGBO |
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| Institution: | Department of Mathematics, The University of Iowa Iowa City, IA 52242, USA
Department of Mathematics, State University of New York at Buffalo Buffalo, NY 14214, USA |
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| Abstract: | Let A1,..., An be Lipschitz functions on R such that A'1,...,A'n VMO. We show that on any bounded interval, the Calderóncommutator associated with the kernel (A1(x)–A1(y)) ...(An(x) – An(y))/(x–y) n1 is a compact perturbationof  , where H is the Hilberttransform. 1991 Mathematics Subject Classification 47B38, 47B47,47G10, 45E99. |
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