Email this article On unconditional basis property in the space H1(R) of a system of Franklin functions with vanishing means
- Authors: Keryan K.A.1
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Affiliations:
- Yerevan State University
- Issue: Vol 51, No 6 (2016)
- Pages: 296-315
- Section: Real and Complex Analysis
- URL: https://journals.rcsi.science/1068-3623/article/view/227979
- DOI: https://doi.org/10.3103/S1068362316060030
- ID: 227979
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Abstract
We define a general Franklin system of functions on R with vanishing means, generated by an admissible sequence T. A necessary and sufficient condition on T is found for the corresponding general Franklin system of functions on R with vanishing means to be an unconditional basis in the space H1(R).
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About the authors
K. A. Keryan
Yerevan State University
Author for correspondence.
Email: karenkeryan@yahoo.com
Armenia, Yerevan
