Astala's conjecture from the point of view of singular integrals on metric spaces
classification
🧮 math.AP
math.CV
keywords
pointastalaconjectureviewahlfors--beurlinganalysiscertainconsiderably
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In the proof of Astala's conjecture on quasiconformal distortion obtained by Lacey--Sawyer--Uriarte-Tuero one of the key point is an estimate of the Ahlfors--Beurling operator in a certain weighted space. We show that the point of view of non-homogeneous Harmonic Analysis simplifies considerably this key point.
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