High-order Schwarz-Pick Lemma for the Schur class on the polydisc

Yang Liu () and Zhihua Chen ()
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Yang Liu: Zhejiang Normal University
Zhihua Chen: Tongji University

Indian Journal of Pure and Applied Mathematics, 2012, vol. 43, issue 4, 411-419

Abstract: Abstract In this paper, we give Schwarz-Pick Lemma for functions in the Schur class on the polydisc of ℂ n , and generalize some early work of Schwarz-Pick Lemma for functions in the Schur class on the unit disk of C and functions in the Schur-Agler class on the polydisc of ℂ n .

Keywords: Schwarz-Pick estimate; holomorphic function; polydisc (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/s13226-012-0025-0

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