TY - JOUR T1 - Vector-Valued Inequalities for Commutators of Singular Integrals on Herz Spaces with Variable Exponents AU - Wang , Liwei AU - Qu , Meng AU - Shu , Lisheng JO - Communications in Mathematical Research VL - 4 SP - 363 EP - 376 PY - 2019 DA - 2019/11 SN - 33 DO - http://doi.org/10.13447/j.1674-5647.2017.04.09 UR - https://global-sci.org/intro/article_detail/cmr/13407.html KW - variable exponent, Herz spaces, commutator, singular integral AB -

Based on the theory of variable exponents and BMO norms, we prove the vector-valued inequalities for commutators of singular integrals on both homogeneous and inhomogeneous Herz spaces where the two main indices are variable exponents. Furthermore, we show that a wide class of commutators generated by BMO functions and sublinear operators satisfy vector-valued inequalities.