Weighted Estimates for Multilinear Strongly Singular Calderón-Zygmund Operators with Multiple Weights

Authors

  • Shuhui Yang
  • Yan Lin

DOI:

https://doi.org/10.47013/15.3.6

Keywords:

multilinear strongly singular Calderón-Zygmund operator, multilinear commutator, multilinear iterated commutator, sharp maximal function, multiple weight.

Abstract

Received on: Jan. 13, 2021;
Accepted on: Dec. 7, 2021

In this paper, the authors establish the weighted boundedness properties for the multilinear strongly singular Calderón-Zygmund operators, their multilinear commutators and multilinear iterated commutators through sharp maximal estimates, respectively. The weight involved is the multiple weight.

Cited by : Jordan J. Math & Stat., 15 (3A) (2022), 467 - 495

Author Biographies

Shuhui Yang

School of Science, China University of Mining and Technology, Beijing 100083, China

Yan Lin

School of Science, China University of Mining and Technology, Beijing 100083, China

Downloads

Published

2023-01-14

How to Cite

Yang , S., & Lin , Y. (2023). Weighted Estimates for Multilinear Strongly Singular Calderón-Zygmund Operators with Multiple Weights. Jordan Journal of Mathematics and Statistics, 15(3), 467–495. https://doi.org/10.47013/15.3.6

Issue

Vol. 15 No. 3 (2022)

Section

Articles