TY - JOUR
T1 - Weighted and Maximally Hypoelliptic Estimates for the Fokker-Planck Operator with Electromagnetic Fields
AU - Li , Wei-Xi
AU - Zeng , Juan
JO - Communications in Mathematical Research 
VL - 2
SP - 255
EP - 270
PY - 2021
DA - 2021/04
SN - 37
DO - http://doi.org/10.4208/cmr.2020-0055
UR - https://global-sci.org/intro/article_detail/cmr/18740.html
KW - Maximal estimate, global hypoellipticity, Fokker-Planck operator.
AB - <p style="text-align: justify;">We consider a Fokker-Planck operator with electric potential and
electromagnetic fields. We establish the sharp weighted and subelliptic estimates, involving the control of the derivatives of electric potential and electromagnetic fields. Our proof relies on a localization argument as well as a careful
calculation on commutators.</p>