Estimates of the norm of the convolution operator in anisotropic Besov spaces with the dominated mixed derivative

In this paper, we investigate the boundedness of the norm of the convolution operator in Sobolev spaces with the dominated mixed derivative and anisotropic Nikolsky-Besov spaces. For Sobolev spaces with the dominated mixed derivatives, an analogue of Young’s inequality is obtained, namely, relation...

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Bibliographic Details
Main Authors: K.K. Sadykova, N.T. Tleukhanova
Format: Article
Language:English
Published: Academician Ye.A. Buketov Karaganda University 2019-09-01
Series:Қарағанды университетінің хабаршысы. Математика сериясы
Subjects:
Online Access:http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/289