A note on a BMO map induced by strongly quasisymmetric homeomorphism

Fan, Yue; Hu, Yun; Shen, Yuliang

doi:10.1090/proc/13388

A note on a BMO map induced by strongly quasisymmetric homeomorphism
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by Yue Fan, Yun Hu and Yuliang Shen PDF

Proc. Amer. Math. Soc. 145 (2017), 2505-2512 Request permission

Abstract:

It is known that a sense preserving homeomorphism $h$ of the unit circle induces a BMO map $P_h$ by pull-back if and only if it is strongly quasisymmetric. In this note, we will discuss the compactness of the projection operator $P^-_h$ sending a BMOA function $\phi$ to the anti-holomorphic part of $P_h\phi$.

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