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- W1566779894 abstract "Local $Tb$ theorems with $L^p$ type testing conditions, which are not scale invariant, have been studied widely in the case of the Lebesgue measure. Until very recently, local $Tb$ theorems in the non-homogeneous case had only been proved assuming scale invariant ($L^{infty}$ or BMO) testing conditions. The combination of non-scale-invariance and general measures is a delicate issue. In a previous paper we overcame this obstacle in the model case of square functions defined using general measures. In this paper we finally tackle the very demanding case of Calder'on-Zygmund operators. That is, we prove a non-homogeneous local $Tb$ theorem with $L^2$ type testing conditions for all Calder'on-Zygmund operators. In doing so we prove general twisted martingale transform inequalities which turn out to be subtle in our general framework." @default.
- W1566779894 created "2016-06-24" @default.
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- W1566779894 date "2013-10-31" @default.
- W1566779894 modified "2023-09-27" @default.
- W1566779894 title "Local $Tb$ theorem with $L^2$ testing conditions and general measures: Calder'on-Zygmund operators" @default.
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