A Characterization of the Mixed Radial-Angular $\lambda$-Central Bounded Mean Oscillation Spaces
Received:November 16, 2022  Revised:February 26, 2023
Key Words: Hardy operator   commutator   mixed radial-angular space  
Fund Project:Supported by the Fundamental Mathematics Research Program of Yili Normal University (Grant No.2021YSYB071), the Doctoral Scientific Research Foundation of Northwest Normal University (Grant No.202203101202) and the Young Teachers’ Scientific Research Ability Promotion Project of Northwest Normal University (Grant No.NWNU-LKQN2023-15).
Author NameAffiliation
Ronghui LIU College of Mathematics and Statistics, Northwest Normal University, Gansu 730070, P. R. China 
Suixin HE School of Mathematics and Statistics, Yili Normal University, Xinjiang 835000, P. R. China 
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      In this paper, we establish a characterization of the mixed radial-angular $\lambda$-central bounded mean oscillation spaces via the boundedness of the commutators $\mathrm{H}_b$ and its dual $\mathrm{H}^*_b$ with a function $b\in {\mathrm{CMOL}^{p_2, \lambda}_{\rm rad}L^{p_1}_{\rm ang}(\mathbb R^n)}$.
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