THE REPRESENTATION OF FUNCTIONS BY WALSH DOUBLE SYSTEM IN WEIGHTED $ L_{\mu}^{p} [0,1)^2 $-SPACES

L.S. Simonyan

doi:10.46991/PYSU:A/2019.53.3.156

THE REPRESENTATION OF FUNCTIONS BY WALSH DOUBLE SYSTEM IN WEIGHTED $ L_{\mu}^{p} [0,1)^2 $-SPACES

Authors

L.S. Simonyan Chair of Higher Mathematics, Faculty of Physics, YSU, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2019.53.3.156

Keywords:

weighted space, Walsh double system, weight function

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.

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Published

2019-12-16

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