Characterizations for the fractional integral operators in generalized Morrey spaces on Carnot groups

被引：0

作者：

A. Eroglu

V. S. Guliyev

J. V. Azizov

机构：

[1] Niğde Ömer Halisdemir University,Institute of Mathematics and Mechanics

[2] Ahi Evran University,undefined

[3] National Academy of Sciences of Azerbaijan,undefined

[4] Khazar University,undefined

来源：

Mathematical Notes | 2017年 / 102卷

关键词：

Carnot group; fractional integral operator; generalized Morrey space;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we study the boundedness of the fractional integral operator Iα on Carnot group G in the generalized Morrey spaces Mp, φ(G). We shall give a characterization for the strong and weak type boundedness of Iα on the generalized Morrey spaces, respectively. As applications of the properties of the fundamental solution of sub-Laplacian L on G, we prove two Sobolev–Stein embedding theorems on generalized Morrey spaces in the Carnot group setting.

引用

页码：722 / 734

页数：12

共 17 条

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Guliyev V. S.(undefined)undefined undefined undefined undefined-undefined

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