Hardy-Littlewood theorem for series with general monotone coefficients

In this work we study trigonometric series with general monotone coefficients. Also, we consider Lqϕ ( Lq ) space. In particular, when ϕ ( t ) ≡ 1 the space Lqϕ ( Lq ) coincides with Lq . Well known the theorem of Hardy and Littlewood about trigonometric series with monotone coefficients. Also know...

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Bibliographic Details
Main Author: S. Bitimkhan
Format: Article
Language:English
Published: Academician Ye.A. Buketov Karaganda University 2018-06-01
Series:Қарағанды университетінің хабаршысы. Математика сериясы
Subjects:
Online Access:http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/206