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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2014, Volume 14, Issue 4(2), Pages 518–525
DOI: https://doi.org/10.18500/1816-9791-2014-14-4-518-525
(Mi isu544)
 

Mathematics

Embedding Theorems for P-nary Hardy and VMO Spaces

S. S. Volosivets

Saratov State University, 83, Astrakhanskaya str., Saratov, 410012, Russia
References:
Abstract: In the present paper several embedding theorems of P. L. Ul'yanov type for Hölder spaces connected with P-nary Hardy, VMO, L1 and uniform metric on Vilenkin groups are proved. Its sharpness is also established. The sufficient conditions for the convergence of Fourier series with respect to multiplicative systems in Hardy space and uniform metric are also given.
Key words: P-nary Hardy space, P-nary VMO space, embedding theorems, sharpness, uniform convergence.
Bibliographic databases:
Document Type: Article
UDC: 517.518
Language: Russian
Citation: S. S. Volosivets, “Embedding Theorems for P-nary Hardy and VMO Spaces”, Izv. Saratov Univ. Math. Mech. Inform., 14:4(2) (2014), 518–525
Citation in format AMSBIB
\Bibitem{Vol14}
\by S.~S.~Volosivets
\paper Embedding Theorems for $\mathbf{P}$-nary Hardy and $VMO$ Spaces
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2014
\vol 14
\issue 4(2)
\pages 518--525
\mathnet{http://mi.mathnet.ru/isu544}
\crossref{https://doi.org/10.18500/1816-9791-2014-14-4-518-525}
\elib{https://elibrary.ru/item.asp?id=22625601}
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