VOLTERRA INTEGRAL OPERATORS FROM D-p-2+s(p) INTO F(p lambda, p lambda plus s lambda-2, q)

Shen Conghui; Lou Zengjian; Li Songxiao

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VOLTERRA INTEGRAL OPERATORS FROM D-p-2+s(p) INTO F(p lambda, p lambda plus s lambda-2, q)

机译：从D-P-2 + S（P）的Volterra Integral Operators进入F（P Lambda，P Lambda Plus S Lambda-2，Q）

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Let 1 < p < infinity, 0 < q < infinity, 0 < s, lambda <= 1 such that q + s lambda > 1. We characterize the boundedness and compactness of inclusion mapping from Dirichlet type spaces D-p-2+s(p) into tent spaces T-p lambda,T-q( mu). As an application, the boundedness of the Volterra operator T-g, its companion operator Ig and the multiplication operator M-g from D-p-2(p)+s to F(p lambda, p lambda + s lambda - 2, q) are given. Furthermore, we study the essential norm and compactness of T-g and I-g.

机译：让1 1.我们表征了从Dirichlet型空间dp-2 + s的包含映射的界限和紧凑性（p ）进入帐篷空间TP Lambda，TQ（MU）。作为施用，给出了Volterra操作员T-G，其伴随算子Ig和来自D-P-2（P）+ S至F（PLAMBDA，PLAMBDA + S Lambda-2，Q）的倍增操作员M-G的界限。此外，我们研究了T-G和I-G的基本规范和紧凑性。

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来源
《Mathematical inequalities & applications》 |2020年第3期|共17页
作者
Shen Conghui; Lou Zengjian; Li Songxiao;
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作者单位

Shantou Univ Dept Math Shantou 515063 Peoples R China;

Shantou Univ Dept Math Shantou 515063 Peoples R China;

Univ Elect Sci &

Technol China Inst Fundamental &

Frontier Sci Chengdu 610054 Sichuan Peoples R China;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Dirichlet type space; Volterra integral operator; embedding; multipliers; Carleson measure;

机译：Dirichlet类型空间;Volterra Integlal Operator;嵌入;乘法器;Carleson测量;

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4. VOLTERRA INTEGRAL OPERATORS FROM D-p-2+s(p) INTO F(p lambda, p lambda plus s lambda-2, q) [J] . Shen Conghui, Lou Zengjian, Li Songxiao Mathematical inequalities & applications . 2020,第3期

机译：从D-P-2 + S（P）的Volterra Integral Operators进入F（P Lambda，P Lambda Plus S Lambda-2，Q）
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VOLTERRA INTEGRAL OPERATORS FROM D-p-2+s(p) INTO F(p lambda, p lambda plus s lambda-2, q)

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