Journal of Jilin University Science Edition ›› 2023, Vol. 61 ›› Issue (5): 999-1006.

Previous Articles     Next Articles

Boundedness of Marcinkiewicz Integral with Rough Kernel on Morrey-Adams Spaces

ZHU Xiaojie, TAO Shuangping   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China
  • Received:2022-11-18 Online:2023-09-26 Published:2023-09-26

Abstract: With the help of the boundedness of the Lebesgue spaces, by applying the decomposition method of function and real variable
 techniques, the boundedness of Marcinkiewicz integral with rough kernel was proved on Morrey-Adams spaces. Meanwhile, the corresponding result of its commutator with Lipschitz and BMO functions was given.

Key words: Marcinkiewicz integral, Morrey-Adams space, commutator, rough kernel

CLC Number: 

  • O174.2