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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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참고문헌 (9)
참고문헌 신청
A. Beurling / 1956 / The boundary correspondence under quasiconformal mappings / Acta Mathematica 96:125~142
G. Cui / 2000 / Integrably asymptotic a ne homeomorphisms of the circle and Teichmuller spaces / Sci. China Ser. A 43:267~279
A. Douady / 1986 / Conformally natural extension of homeomorphisms of the circle / Acta Math 157:23~48
F. P. Gardiner / 1992 / Symmetric structures on a closed curve / Amer. J. Math 114:683~736
Y. Hu / 2012 / On quasisymmetric homeomorphisms / Israel J. Math 191:209~226
G. Cui / 2000 / Integrably asymptotic a ne homeomorphisms of the circle and Teichmuller spaces / Sci. China Ser. A 43:267~279
A. Douady / 1986 / Conformally natural extension of homeomorphisms of the circle / Acta Math 157:23~48
F. P. Gardiner / 1992 / Symmetric structures on a closed curve / Amer. J. Math 114:683~736
Y. Hu / 2012 / On quasisymmetric homeomorphisms / Israel J. Math 191:209~226
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