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A note on a BMO map induced by strongly quasisymmetric homeomorphism

A note on a BMO map induced by strongly quasisymmetric homeomorphism

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 …