On a necessary condition for belonging of a function to periodic generalized Nikol’sky-Besov-Morrey space in terms of strong summability of Fourier series

On a necessary condition for belonging of a function to periodic generalized Nikol’sky-Besov-Morrey space in terms of strong summability of Fourier series

This paper is dedicated to the investigation of strong summability in the generalized Morrey spaces. First, we study boundedness of the Hardy-Littlewood maximal function on generalized Morrey spaces. We find a necessary condition for belonging of a function to the periodic generalized Nikol’skij-Be...

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Bibliographic Details
Main Author: Zh.Zh. Baituyakova
Format: Article
Language:English
Published: Academician Ye.A. Buketov Karaganda University 2016-09-01
Series:Қарағанды университетінің хабаршысы. Математика сериясы
Subjects:
Morrey space
maximal function
Fourier transform
Nikol’skij-Besov-Morrey space
Online Access:http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/89

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