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Mathematics
Embedding Theorems for P-nary Hardy and VMO Spaces
S. S. Volosivets Saratov State University, 83, Astrakhanskaya str., Saratov, 410012, Russia
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.
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
Linking options:
https://www.mathnet.ru/eng/isu544 https://www.mathnet.ru/eng/isu/v14/i5/p518
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