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Maximal functions, $A\sb \infty$-measures and quasiconformal maps

Maximal functions, $A\sb \infty$-measures and quasiconformal maps

In the study of quasiconformal maps, one commonly asks, "Which classes of maps or measures are preserved under quasiconformal maps?", and conversely, "When does the said preservation property imply the quasiconformality of the map?". These questions have been studied by Reimann and Uchiyama with respect to the classes of BMO …