BOUNDEDNESS OF MULTILINEAR LITTLEWOOD-PALEY OPERATORS ON AMALGAM-CAMPANATO SPACES

doi:10.1007/s10473-020-0119-7

数学物理学报(英文版) ›› 2020, Vol. 40 ›› Issue (1): 272-292.doi: 10.1007/s10473-020-0119-7

• 论文 • 上一篇

BOUNDEDNESS OF MULTILINEAR LITTLEWOOD-PALEY OPERATORS ON AMALGAM-CAMPANATO SPACES

李翔¹, 骞君², 燕敦验¹

1. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China;
2. School of Applied Science, Beijing Information Science and Technology University, Beijing 100192, China

收稿日期:2018-09-13 修回日期:2018-12-17 出版日期:2020-02-25 发布日期:2020-04-14
通讯作者: Qianjun HE E-mail:heqianjun16@mails.ucas.ac.cn
基金资助:
Supported in part by the Natural Science Foundation of China (11471309 and 11561062).

BOUNDEDNESS OF MULTILINEAR LITTLEWOOD-PALEY OPERATORS ON AMALGAM-CAMPANATO SPACES

Xiang LI¹, Qianjun HE², Dunyan YAN¹

1. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China;
2. School of Applied Science, Beijing Information Science and Technology University, Beijing 100192, China

Received:2018-09-13 Revised:2018-12-17 Online:2020-02-25 Published:2020-04-14
Contact: Qianjun HE E-mail:heqianjun16@mails.ucas.ac.cn
Supported by:
Supported in part by the Natural Science Foundation of China (11471309 and 11561062).

摘要/Abstract

摘要： In this paper, we consider the boundedness of multilinear Littlewood-Paley operators which include multilinear g-function, multilinear Lusin’s area integral and multilinear Littlewood-Paley g_λ^*-function. Furthermore, norm inequalities of the above operators hold on the corresponding Amalgam-Campanato spaces.

关键词: multilinear Littlewood-Paley g-function, multilinear g_λ^*-function, AmalgamCampanato spaces

Abstract: In this paper, we consider the boundedness of multilinear Littlewood-Paley operators which include multilinear g-function, multilinear Lusin’s area integral and multilinear Littlewood-Paley g_λ^*-function. Furthermore, norm inequalities of the above operators hold on the corresponding Amalgam-Campanato spaces.

Key words: multilinear Littlewood-Paley g-function, multilinear g_λ^*-function, AmalgamCampanato spaces

中图分类号:

42B20

李翔, 骞君, 燕敦验. BOUNDEDNESS OF MULTILINEAR LITTLEWOOD-PALEY OPERATORS ON AMALGAM-CAMPANATO SPACES[J]. 数学物理学报(英文版), 2020, 40(1): 272-292.

Xiang LI, Qianjun HE, Dunyan YAN. BOUNDEDNESS OF MULTILINEAR LITTLEWOOD-PALEY OPERATORS ON AMALGAM-CAMPANATO SPACES[J]. Acta mathematica scientia,Series B, 2020, 40(1): 272-292.

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BOUNDEDNESS OF MULTILINEAR LITTLEWOOD-PALEY OPERATORS ON AMALGAM-CAMPANATO SPACES

BOUNDEDNESS OF MULTILINEAR LITTLEWOOD-PALEY OPERATORS ON AMALGAM-CAMPANATO SPACES

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