Growth of p-th means of the Poisson-Stieltjes integrals in polydisc
Journal Title: Математичні Студії - Year 2019, Vol 52, Issue 1
Abstract
We prove a sharp upper estimate of the pth means of the Poisson-Stieltjes integrals in the unit polydisc for p>1. The estimate is given in terms of the smoothness of a complex-valued Stieltjes measure μ. If the measure μ is positive, the estimate becomes equivalent to the smoothness condition.
Authors and Affiliations
I. E. Chyzhykov, O. A. Kutnyak
Keywords
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- EP ID EP673801
- DOI 10.30970/ms.52.1.48-54
- Views 54
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