Endpoint estimates for Marcinkiewicz integrals on weighted weak hardy spaces

Authors
Citation
Lin, Yan et Xu, Mei, Endpoint estimates for Marcinkiewicz integrals on weighted weak hardy spaces, Acta mathematica Sinica. English series (Print) , 31(3), 2015, pp. 430-444
ISSN journal
14398516
Volume
31
Issue
3
Year of publication
2015
Pages
430 - 444
Database
ACNP
SICI code
Abstract
In this paper, we obtain the (WH 1., WH 1.) type estimate for the Marcinkiewicz integral and the (WH 1b, ., WH 1.) type estimate for the commutator generated by a BMO function and the Marcinkiewicz integral, where the kernel satisfies a certain logarithmic type Lipschitz condition.