, Volume 39, Issue 1, pp 69-85

The boundedness of sublinear operators on Morrey-Herz spaces over the homogeneous type space

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Abstract

In this article, the Morrey-Herz spaces over the homogeneous type basic space are introduced; moreover, several theorems about the boundedness of some sublinear operators on these Morrey-Herz spaces are established, which extend the related known results.

Резюме

В работе введено понятие пространств Моррея-Герца над основным пространством однородного типа, и установлен ряд теорем об ограниченности некоторых сублинейных операторов в этих пространствах, которые обобщают ранее иэвестные реэультаты в этом направлении.

Research of the first author was supported by the Foundation of Zhejiang Pharmaceutical College under Grant #ZPCSR2010013. Research of the second author was supported in part by the NNSF of China under Grants #10771110 and #11071065, and the Scientific Research Fund of Zhejiang Provincial Education Department under Grant #Z201017584.