Abstract of a paper by Paul F.X. Mueller and Markus Passenbrunner
This is an announcement for the paper "A representation theorem for singular integral operators on spaces of homogeneous type" by Paul F.X. Mueller and Markus Passenbrunner. Abstract: Let (X,d,\mu) 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 operators on (X,d,mu) as a series of simple shifts and rearrangements plus two paraproducts. This gives a T(1) Theorem in this setting. Archive classification: math.FA Mathematics Subject Classification: 42B20; 60G42; 46E40; 47B38 The source file(s), Basis.eps: 11807 bytes The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1001.4926 or http://arXiv.org/abs/1001.4926 or by email in unzipped form by transmitting an empty message with subject line uget 1001.4926 or in gzipped form by using subject line get 1001.4926 to: math@arXiv.org.
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alspach@fourier.math.okstate.edu