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Weighted integrals of holomorphic functions in the unit polydisc

Abstract

Let be a measurable function defined on the unit polydisc in and let,, be admissible weights on the unit disk, with distortion functions,, where, and. We prove the following result: if and for all,, then and there is a positive constant such that.

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Correspondence to Stevo Stević.

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Stević, S. Weighted integrals of holomorphic functions in the unit polydisc. J Inequal Appl 2005, 463631 (2005). https://doi.org/10.1155/JIA.2005.583

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  • DOI: https://doi.org/10.1155/JIA.2005.583