The Dirichlet problem for parabolic operators with singular drift terms

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Uniform rectifiability and harmonic measure I: Uniform rectifiability implies Poisson kernels in $L^p$ (2012, methodology): “f the Extrapolation Lemma To ﬁnish the proofs of Theorems 1.26 and 1.27, it remains to prove Lemma 8.5. Proof of Lemma 8.5. The proof follows the strategy introduced in [LM], and developed further in [HL], [AHLT] and [AHMTT]. In more precise detail, the argument is based on the systematic treatment ”
Uniform Rectifiability, Carleson measure estimates, and approximation of harmonic functions (2014, methodology): “s”, a bootstrapping pro cedure for lifting the Carleson measure constant, developed by J. L. Lewis [LM], and based on the Corona construction of Carleson [Car] and Carleson and Garnett [CG] (see also [HL], [AHLT], [AHMTT], [HM1], [HM2]). Let E ⊂ Rn+1 be a UR set of co-dimension 1. We ﬁx positive num”
Carleson measures, trees, extrapolation, and T(b) theorems (2001, methodology): “ofs in that one does not go explicitly through the T(1) theorem. Next, we give a trees-based proof of the (dyadic analogue of the) extrapolation lemma for Carleson measures developed recently in [3], [28], [38]. Finally, we consider Calder´on-Zygmund operators. We prove a two-sided local T(b) theore”