Geodesic
Embedding Theorems for Besov Spaces over Multiplicative Price Bases
Informatics and Automation, Function spaces, approximations, and differential equations, Tome 243 (2003), pp. 313-319

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The theory of Fourier series in multiplicative systems is one of intensively developing directions in harmonic analysis. In this paper, a Besov space over the multiplicative Price basis is introduced. Equivalent norms of the elements of this space are found, and a sharp embedding theorem of different metrics is proved. 
@article{TRSPY_2003_243_a20,
     author = {E. S. Smailov and Z. R. Suleimenova},
     title = {Embedding {Theorems} for {Besov} {Spaces} over {Multiplicative} {Price} {Bases}},
     journal = {Informatics and Automation},
     pages = {313--319},
     publisher = {mathdoc},
     volume = {243},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2003_243_a20/}
}
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E. S. Smailov; Z. R. Suleimenova. Embedding Theorems for Besov Spaces over Multiplicative Price Bases. Informatics and Automation, Function spaces, approximations, and differential equations, Tome 243 (2003), pp. 313-319. http://geodesic.mathdoc.fr/item/TRSPY_2003_243_a20/