[Banach] 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

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