Geodesic
The representation of functions by Walsh double system in weighted $L_{\mu}^{^{p}}[0,1)^{2}$-spaces
Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 53 (2019) no. 3, pp. 156-162

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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. 
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     title = {The representation of functions by {Walsh} double system in weighted $L_{\mu}^{^{p}}[0,1)^{2}$-spaces},
     journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
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L. S. Simonyan. The representation of functions by Walsh double system in weighted $L_{\mu}^{^{p}}[0,1)^{2}$-spaces. Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 53 (2019) no. 3, pp. 156-162. http://geodesic.mathdoc.fr/item/UZERU_2019_53_3_a2/