Two-Weight Criteria for the Multidimensional Hardy-Type Operator in p-Convex Banach Function Spaces and Some Applications

Bandaliev R. A.

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Two-Weight Criteria for the Multidimensional Hardy-Type Operator in p-Convex Banach Function Spaces and Some Applications

机译：p-凸Banach函数空间中多维Hardy型算子的两重准则及其应用

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摘要

The main aim of the paper is to prove a two-weight criterion for the multidimensional Hardy-type operator from weighted Lebesgue spaces into p-convex weighted Banach function spaces. The problem for the dual operator is also considered. As an application, we prove a two-weight criterion of boundedness of the multidimensional geometric mean operator from weighted Lebesgue spaces into weighted Musielak-Orlicz spaces.

机译：本文的主要目的是为多维Hardy型算子证明一个从加权Lebesgue空间到p-凸加权Banach函数空间的二重准则。还考虑了对偶运算符的问题。作为应用，我们证明了从加权Lebesgue空间到加权Musielak-Orlicz空间的多维几何均值算子的有界性的二重准则。

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《Ukrainian mathematical journal》 |2015年第3期|共15页
作者
Bandaliev R. A.;
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正文语种 eng
中图分类数学;
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专利

1. Two-Weight Criteria for the Multidimensional Hardy-Type Operator in p-Convex Banach Function Spaces and Some Applications [J] . Bandaliev R. A. Ukrainian mathematical journal . 2015,第3期

机译：p-凸Banach函数空间中多维Hardy型算子的两重准则及其应用
2. Strongly embedded subspaces of p-convex Banach function spaces [J] . Calabuig J.M., Rodríguez J., Sánchez-Pérez E.A. Positivity . 2013,第3期

机译：p-凸Banach函数空间的强嵌入子空间
3. ISOMETRIC WEIGHTED COMPOSITION OPERATORS ON WEIGHTED BANACH SPACES OF HOLOMORPHIC FUNCTIONS DEFINED ON THE UNIT BALL OF A COMPLEX BANACH SPACE [J] . Wolf Elke Cubo : A Mathematical Journal . 2013,第2期

机译：完全Banach空间上球定义的同构函数的加权Banach空间上的等距加权复合算子。
4. Weighted composition operators from Banach spaces of analytic functions into Bloch-type spaces [C] . Flavia Colonna, Maria Tjani Workshop on Problems and Recent Methods in Operator Theory . 2017

机译：加权组成算子从分析函数的Banach空间进入Bloch型空间
5. Weighted Composition Operators from Analytic Function Spaces into a Class of Weighted-type Banach Spaces [D] . Alyusof, Shams. 2020

机译：来自分析功能空间的加权组成算子进入一类加权型Banach空间
6. INTEGRAL REPRESENTATION OF LINEAR CONTINUOUS OPERATORS FROM THE SPACE OF LEBESGUE-BOCHNER SUMMABLE FUNCTIONS INTO ANY BANACH SPACE [O] . Witold M. Bogdanowicz 1965

机译：线性连续算子从Lebesgue-Bochner可加函数空间到任何Banach空间的积分表示
7. On the Hardy-type integral operators in Banach function spaces [O] . Lomakina E. 1998

机译：关于Banach函数空间中的Hardy型积分算子
8. Convex closed set-valued operators in Banach spaces and their applications in control problems [R] . Vu Ngoc Phat, Jong Yeoul Park 1995

机译：Banach空间中的凸集闭集集值运算符及其在控制问题中的应用

Two-Weight Criteria for the Multidimensional Hardy-Type Operator in p-Convex Banach Function Spaces and Some Applications

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