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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Номзүйн дэлгэрэнгүй

Үндсэн зохиолчид:	K.K. Sadykova, N.T. Tleukhanova
Формат:	Artigo
Хэл сонгох:	Inglês
Хэвлэсэн:	Academician Ye.A. Buketov Karaganda University 2019-09-01
Цуврал:	Қарағанды университетінің хабаршысы. Математика сериясы
Нөхцлүүд:	convolution operator anisotropic Sobolev and Besov spaces interpolation анизотропные пространства Соболева интерполяция
Онлайн хандалт:	http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/289
Шошгууд:	Шошго нэмэх Шошго байхгүй, Энэхүү баримтыг шошголох эхний хүн болох!