Korean J. Math. Vol. 24 No. 1 (2016) pp.15-25
DOI: https://doi.org/10.11568/kjm.2016.24.1.15

Essential norm of the pull back operator

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Published: Mar 30, 2016
Keywords:
Pull-pack operator, Quasi-conformal map, Boundary dilatation, Essential norm.
Mathematics Subject Classification:
20F67, 60B15, 11K55, 60J65.

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Tang Shuan
School of Mathematics Sciences Soochow University Suzhou 215006, P.R.China
Wu Chong
School of Mathematics Southwest Jiaotong University Chengdu 611756, P.R.China

Abstract

We obtain some estimations of the essential norm of a pull back operator induced by quasi-symmetric homeomorphisms. As a corollary, we deduce the compactness criterion of this operator.



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