Articles

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

  • Xiang LI ,
  • Qianjun HE ,
  • Dunyan YAN
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  • 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 date: 2018-09-13

  Revised date: 2018-12-17

  Online published: 2020-04-14

Supported by

Supported in part by the Natural Science Foundation of China (11471309 and 11561062).

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 gλ*-function. Furthermore, norm inequalities of the above operators hold on the corresponding Amalgam-Campanato spaces.

Cite this article

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 . DOI: 10.1007/s10473-020-0119-7

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