THE REPRESENTATION OF FUNCTIONS BY WALSH DOUBLE SYSTEM IN WEIGHTED $ L_{\mu}^{p} [0,1)^2 $-SPACES
DOI:
https://doi.org/10.46991/PYSU:A/2019.53.3.156Keywords:
weighted space, Walsh double system, weight functionAbstract
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.
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Published
2019-12-16
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Section
Mathematics
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Copyright (c) 2019 Proceedings of the YSU

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
How to Cite
Simonyan, L. (2019). THE REPRESENTATION OF FUNCTIONS BY WALSH DOUBLE SYSTEM IN WEIGHTED $ L_{\mu}^{p} [0,1)^2 $-SPACES. Proceedings of the YSU A: Physical and Mathematical Sciences, 53(3 (250), 156-162. https://doi.org/10.46991/PYSU:A/2019.53.3.156