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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Inequalities for holomorphic functions of several complex variables


Author: Jacob Burbea
Journal: Trans. Amer. Math. Soc. 276 (1983), 247-266
MSC: Primary 32H10; Secondary 32A10, 46E20
DOI: https://doi.org/10.1090/S0002-9947-1983-0684506-0
MathSciNet review: 684506
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Abstract: Sharp norm-inequalities, valid for functional Hilbert spaces of holomorphic functions on the polydisk, unit ball and $ {{\mathbf{C}}^n}$ are established by using the notion of reproducing kernels. These inequalities extend earlier results of Saitoh and ours.


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DOI: https://doi.org/10.1090/S0002-9947-1983-0684506-0
Article copyright: © Copyright 1983 American Mathematical Society