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Weak type estimates and Cotlar inequalities for Calderon-Zygmund operators on nonhomogeneous spaces

by F. Nazarov, S. Treil, and A. Volberg

International Research Notes in Mathematics, 1998, No 9, 463--487

This is one of earlier versions. Don't be surprised by typos. For the latest version see the journal.

The paper continues the line of research started in our paper Cauchy Integral and Calderon--Zygmund operators on nonhomogeneous spaces. The main result is that if a Calderon--Zygmund operator T is bounded on L2(or on some Lr, 1 < r < ), then T(and the maximal operator T#) is of weak type 1-1 and is bounded on all Lp, 1 < p < .

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