Multi-parameter flag Leibniz rule of arbitrary complexity
We will introduce the multi-parameter flag Leibniz rules. The formulation can be perceived as compositions of differential operators or partial differential operators and the complexity reflects the number of compositions. Nonetheless, the nontrivial range of boundedness exponents cannot be derived by iterative applications of Leibniz rules of lower complexities. We will then focus on a particular example of flag Leibniz rules to illustrate main ideas in the proof. This is joint work with Cristina Benea.