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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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