$L_p$-estimates for Nonlocal Equations

This paper investigates nonlocal operators, which are mathematical tools used to model phenomena that depend on interactions across distances. The authors focus on operators with general Lévy measures, allowing for significant singularity and lack of time regularity. The key contributions are establishing continuity and unique strong solvability of the corresponding nonlocal parabolic equations in $L_p$ spaces. The paper also explores the applicability of weighted mixed-norm spaces for these operators, providing insights into their behavior based on the parameters involved.