English

The multilinear Littlewood-Paley square operators and their commutators on weighted Morrey spaces

Classical Analysis and ODEs 2023-06-27 v3 Functional Analysis

Abstract

In this paper, we prove the boundedness of the multilinear Littlewood-Paley square operators and their commutators on weighted Morrey spaces, then we give the boundedness and weak-type LlogLL\log L estimates for the commutators of multilinear Littlewood-Paley g-functions and multilinear Marcinkiewicz integrals on weighted Morrey spaces in the form of corollaries.

Keywords

Cite

@article{arxiv.2304.08657,
  title  = {The multilinear Littlewood-Paley square operators and their commutators on weighted Morrey spaces},
  author = {Xi Cen},
  journal= {arXiv preprint arXiv:2304.08657},
  year   = {2023}
}

Comments

30 pages