In Autumn 2020, DOAJ will be relaunching with a new website with updated functionality, improved search, and a simplified application form. More information is available on our blog. Our API is also changing.

Hide this message


Journal Homepage

Journal Title: Вестник московского государственного областного университета. Серия: Физика-математика

ISSN: 2072-8387 (Print); 2310-7251 (Online)

Publisher: Moscow Region State University Editorial Office

Society/Institution: Moscow Region State University

LCC Subject Category: Science: Mathematics

Country of publisher: Russian Federation

Language of fulltext: Russian

Full-text formats available: PDF



Антоненкова Ольга Евгеньевна

Часова Наталья Александровна


Peer review

Editorial Board

Instructions for authors

Time From Submission to Publication: 13 weeks


Abstract | Full Text

Hardy spaces play an important role in the complex analysis and its numerous applications. However, unlike a one-dimensional case, the Hardy-type spaces in a polydisc are investigated a little. In this paper, the integral representations of the classes of n-harmonic in a polydisc Un functions are received, in particular the characterization of n-harmonic functions in a polydisc which can be represented as a multiple Poisson integral from functions, measurable on a skeleton of a polydisc, from a class where 1 < pi < + ∞, is given. At the proof of the main result the general methods of the complex and functional analysis, theory of Hardy classes is used.