Mean oscillation and boundedness of multilinear operator related to multiplier operator-Reference-Cited by-同舟云学术

Mean oscillation and boundedness of multilinear operator related to multiplier operator

Published:2021-01-01 Issue:1 Volume:19 Page:747-759
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Zhao Qiaozhen¹,Huang Dejian²

Affiliation:

1. Department of Mathematics, Jiaxing Nanyang Polytechnic Institute, Zhejiang , Jiaxing , 314003 , China

2. School of Science, Hainan Tropical Ocean University , Sanya , 572022 , China

Abstract

Abstract In this paper, the boundedness of certain multilinear operator related to the multiplier operator from Lebesgue spaces to Orlicz spaces is obtained.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2021-0056/pdf

Reference24 articles.

1. R. R. Coifman , R. Rochberg , and G. Weiss , Factorization theorems for Hardy spaces in several variables, Ann. Math. 103 (1976), no. 3, 611–635, https://doi.org/10.2307/1970954.

2. J. Garcia-Cuerva and J. L. Rubio de Francia , Weighted norm inequalities and related topics , North-Holland Mathematics Studies , vol. 116, North Holland, Amsterdam, 1985.

3. E. M. Stein , Harmonic Analysis: Real Variable Methods, Orthogonality and Oscillatory Integrals, Princeton University Press, Princeton NJ, 1993.

4. C. Pérez and G. Pradolini , Sharp weighted endpoint estimates for commutators of singular integral operators, Michigan Math. J. 49 (2001), no. 1, 23–37, https://doi.org/10.1307/mmj/1008719033.

5. C. Pérez and R. Trujillo-Gonzalez , Sharp weighted estimates for multilinear commutators, J. London Math. Soc. 65 (2002), no. 3, 672–692, https://doi.org/10.1112/S0024610702003174.