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

Authors

  • Zh.Zh. Baituyakova

Keywords:

Morrey space, maximal function, Fourier transform, Nikol’skij-Besov-Morrey space

Abstract

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-Besov-Morrey spaces.

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Published

2016-09-30

How to Cite

Baituyakova, Z. (2016). 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. Bulletin of the Karaganda University. Mathematics Series, 83(3), 13–19. Retrieved from https://mts.buketov.edu.kz/index.php/mathematics-vestnik/article/view/89

Issue

2016 (83) 3

Section

MATHEMATICS