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Matematicheskie Zametki, 2006, Volume 80, Issue 2, Pages 296–308
DOI: https://doi.org/10.4213/mzm2810 (Mi mzm2810) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On the Structure of the Class $A(\varphi)$

V. Sh. Tsagareishvili

Tbilisi Ivane Javakhishvili State University
Full-text PDF (394 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm2810
Abstract: 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, Fourier coefficients.
Received: 23.12.2004
English version:
Mathematical Notes, 2006, Volume 80, Issue 2, Pages 284–295
DOI: https://doi.org/10.1007/s11006-006-0137-0
Bibliographic databases:
UDC: 517.521
Language: Russian
Citation: V. Sh. Tsagareishvili, “On the Structure of the Class $A(\varphi)$”, Mat. Zametki, 80:2 (2006), 296–308; Math. Notes, 80:2 (2006), 284–295
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
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