TY - JOUR T1 - Non-Regular Pseudo-Differential Operators on Matrix Weighted Besov-Triebel-Lizorkin Spaces AU - Bai , Tengfei AU - Xu , Jingshi JO - Journal of Mathematical Study VL - 1 SP - 84 EP - 100 PY - 2024 DA - 2024/03 SN - 57 DO - http://doi.org/10.4208/jms.v57n1.24.05 UR - https://global-sci.org/intro/article_detail/jms/22989.html KW - Pseudo-differential operator, matrix weight, Besov space, Triebel-Lizorkin space. AB -

In this paper we obtain the boundedness of non-regular pseudo-differential operators with symbols in Besov spaces on matrix-weighted Besov-Triebel-Lizorkin spaces. These symbols include the classical Hörmander classes.