@article{Yang2024, 
author = {Heng Yang and Jiang Zhou},
title = {Some estimates of multilinear operators on tent spaces},
year = {2024},
journal = {Communications in Analysis and Mechanics},
volume = {16},
number = {4},
pages = {700-716},
keywords = {multilinear maximal operator, multilinear Calderón–Zygmund operator, multilinear fractional integral operator, tent space},
url = {https://www.sciopen.com/article/10.3934/cam.2024031},
doi = {10.3934/cam.2024031},
abstract = {Let  0&lt;α&lt;mn and  0&lt;r,q&lt;∞. In this paper, we obtain the boundedness of some multilinear operators by establishing pointwise inequalities and applying extrapolation methods on tent spaces  Trq(R+n+1), where these multilinear operators include multilinear Hardy–Littlewood maximal operator  M, multilinear fractional maximal operator  Mα, multilinear Calderón–Zygmund operator  T, and multilinear fractional integral operator  Iα. Therefore, the results of Auscher and Prisuelos–Arribas [Math. Z. 286 (2017), 1575–1604] are extended to the general case.}
}