TY  - JOUR
AU  - Liu, Feng
AU  - Liu, Simin
AU  - Zhang, Xiao
PY  - 2026
TI  - Boundedness and continuity of local bilinear maximal commutators on Triebel–Lizorkin spaces and Besov spaces
JO  - AIMS Mathematics
SP  - 167
EP  - 191
VL  - 11
IS  - 1
AB  - In the present paper we investigated the mapping properties for the bilinear maximal commutator in the domain setting. Some new boundedness and continuity for the above operator on the Triebel–Lizorkin spaces and Besov spaces were established under suitable symbol function conditions. The main results essentially extend some known ones to the local setting.
UR  - https://doi.org/10.3934/math.2026007
DO  - 10.3934/math.2026007