On embedding conditions into the space \(L_q(G^n)\) in terms of the mean Fourier-Price series (Q2719479)
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scientific article; zbMATH DE number 1609718
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On embedding conditions into the space \(L_q(G^n)\) in terms of the mean Fourier-Price series |
scientific article; zbMATH DE number 1609718 |
Statements
25 June 2001
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Price system
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embedding theorems
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On embedding conditions into the space \(L_q(G^n)\) in terms of the mean Fourier-Price series (English)
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The author presents the embedding conditions into the space \(L_q(G^n)\), \( 1\leq p<q<+\infty \) in terms of the mean multiple Fourier series with respect to the products of the periodic multiplicative Price systems [see \textit{G. N. Agaev, N. Ja. Vilenkin, G. M. Dzafarli} and \textit{A. I. Rubinshtein}, ``Multiplicative systems of functions and harmonic analysis on zero-dimensional groups'', ELM, Baku (1981; Zbl 0588.43001)]. The effect is discussed of the boundedness properties of numerical sequences generating the Price systems under the obtained conditions.
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