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// Proceedings of the Yerevan State University, series Physical and Mathematical Sciences
// Archive
Proceedings of the YSU, Physical and Mathematical Sciences,
2019
Volume 53,
Issue 3,
Pages
156–162
(Mi uzeru623)
Mathematics
The representation of functions by Walsh double system in weighted
$L_{\mu}^{^{p}}[0,1)^{2}$
-spaces
L. S. Simonyan
Yerevan State University
Abstract:
In this work we construct a weighted space
$L_{\mu}^p,$
$p\geq 1,$
in which functions with the norm of that space are presented by Walsh double series, which coefficients are monotone in all ways.
Keywords:
weighted space, Walsh double system, weight function.
MSC:
42C20
Received:
08.07.2019
Revised:
16.11.2019
Accepted:
18.11.2019
Language:
English
Fulltext:
PDF file (172 kB)
References
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Steklov Math. Inst. of RAS
, 2024