Weighted norm inequalities for Calderon-Zygmund operators without doubling conditions

Details Weighted norm inequalities for Calderon-Zygmund operators without doubling conditions Weighted norm inequalities for Calderon-Zygmund operators without doubling conditions

2001-01-23

arxiv.org/abs/math/0101192v2

Publ. Mat. 51:2 (2007), 397-456

Mathematics

Classical Analysis and ODEs

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Scientific paper

In this paper we develop a kind of A_p theory for Calderon-Zygmund operators in a non-homogeneous setting. Let \mu be a Borel measure on \R^d which may be non doubling. The only condition that \mu must satisfy is \mu(B(x,r))\leq Cr^n for all x\in\R^d, r>0 and for some fixed n with 0

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