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On a Normality Criterion of W. Schwick

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In this paper, as an application of Zalcman’s lemma in \(C^n,\) we give a sufficient condition for normality of a family of holomorphic functions of several complex variables, which generalizes previous known one-dimensional results of H.L. Royden and W. Schwick.

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I am grateful to Robert Burckel, who read the paper with “the eye of an eagle and a fine-toothed comb”. This quote is from the Preface of the excellent book of Marshall [2, Preface, p. XIII].

I would like to express my appreciation to the referees for a careful reading of the paper in its original form, and for suggestions, all of which led to improvements which are reflected in the revision.

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Correspondence to P. V. Dovbush.

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Dovbush, P.V. On a Normality Criterion of W. Schwick. J Geom Anal 31, 5355–5358 (2021).

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