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Multipliers of the trigonometric system

Author
Ghazaryan, Ghazarosuntranslated
Entity
UAM. Departamento de Matemáticas
Publisher
Springer
Date
2023-04-17
Citation
Journal of Mathematical Sciences (2023): 1-11
ISSN
1072-3374 (print); 1573-8795 (online)
DOI
10.1007/s10958-022-06248-2
Funded by
Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature
Editor's Version
https://doi.org/10.1007/s10958-022-06248-2
Subjects
Hardy spaces; Outer function; The trigonometric system; M−basis; Multiplier; Matemáticas
URI
http://hdl.handle.net/10486/707034
Rights
© The Author(s) 2023

Licencia Creative Commons
Esta obra está bajo una Licencia Creative Commons Atribución 4.0 Internacional.

Abstract

We study the system {L(t)eint}−1n=−∞ ∪ {M(t)eint}∞n=0, where L and M are boundary values of some outer functions defned in the unit disc. Necessary and sufcient conditions on functions L and M are found so that the system is a Schauder basis in Lp(T),1 < p < ∞
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