Geodesic
On the Structure of the Class
Matematičeskie zametki, Tome 80 (2006) no. 2, pp. 296-308

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In this paper, we study whether the set $A(\varphi)$ is closed under multiplication $f\cdot g$, where $f$ and $g$ belong to the class $A(\varphi)$. We also study the problem of the existence of a solution of the equation $Bx=\nobreak C$ (where $B,C\in A(\varphi)$ and $B\neq \nobreak 0$) on the set $A(\varphi)$.
Keywords: the class $A(\varphi)$, Banach space, Khinchine's inequality, Rademacher function, Haar system, Walsh system
Mots-clés : Fourier coefficients. 
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     author = {V. Sh. Tsagareishvili},
     title = {On the {Structure} of the {Class}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {296--308},
     publisher = {mathdoc},
     volume = {80},
     number = {2},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2006_80_2_a14/}
}
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V. Sh. Tsagareishvili. On the Structure of the Class. Matematičeskie zametki, Tome 80 (2006) no. 2, pp. 296-308. http://geodesic.mathdoc.fr/item/MZM_2006_80_2_a14/