Affiliation:
1. College of Mathematics and System Science, Xinjiang University, Urumqi 830046, China
Abstract
We obtain the separability of mixed-norm Herz-slice spaces, establish a weak convergence on mixed-norm Herz-slice spaces, and get the boundedness of the Calderón–Zygmund operator T on mixed-norm Herz-slice spaces. Moreover, we get the necessary and sufficient conditions for the boundedness of the commutator [b,T] on mixed-norm Herz-slice spaces, where b is a locally integrable function.
Funder
National Natural Science Foundation of China
Subject
Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis
Reference39 articles.
1. Construction and analysis of some convolution algebras;Beurling;Ann. Inst. Fourier,1964
2. Lipschitz spaces and Bernstein’s theorem on absolutely convergent Fourier series;Herz;J. Math. Mech.,1968
3. The decomposition of the weighted Herz spaces on Rn and its applications;Lu;Sci. China Ser. A,1995
4. On Gagliardo-Nirenberg type inequalities in Fourier-Herz spaces;Chikami;J. Funct. Anal.,2018
5. Well-posedness and long time behavior for the electron inertial Hall-MHD system in Besov and Kato-Herz spaces;Houamed;J. Math. Anal. Appl.,2021