Littlewood-Paley theory and the T(1) theorem with non doubling measures

Mathematics – Classical Analysis and ODEs

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47 pages

Scientific paper

Let $\mu$ be a Borel measure on $R^d$ which may be non doubling. The only condition that $\mu$ must satisfy is $\mu(B(x,r))\leq C r^n$ for all $x\in R^d$, $r>0$, and for some fixed $0

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