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J. Korean Math. Soc. 2008; 45(1): 63-78

Printed January 1, 2008

Copyright © The Korean Mathematical Society.

Holomorphic functions on the mixed norm spaces on the polydisc

Stevo Stevic

Mathematical Institute of the Serbian Academy of Science

Abstract

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We generalize several integral inequalities for analytic functions on the open unit polydisc $U^n=\{z\in \mathbb C^n\; |\; |z_j|-1,$ $j=1,\ldots,n$ (the classical weights.) The main results here improve our results in Z. Anal. Anwendungen $\bf 23$ (3) (2004), no. 3, 577--587 and Z. Anal. Anwendungen $\bf 23$ (2004), no. 4, 775--782.

Keywords: holomorphic function, mixed norm space, polydisc, weighted derivations, admissible weight

MSC numbers: Primary 32A10; Secondary 32A46

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