Bilinear embedding in Orlicz spaces for divergence-form operators with complex coefficients
arXiv:2110.15812 · doi:10.1016/j.jfa.2023.109884
Abstract
We prove a bi-sublinear embedding for semigroups generated by non-smooth complex-coefficient elliptic operators in divergence form and for certain mutually dual pairs of Orlicz-space norms. This generalizes a result by Carbonaro and Dragičević from power functions to more general Young functions that still behave like powers. To achieve this, we generalize a Bellman function constructed by Nazarov and Treil.
23 pages; v2: referee's suggestions incorporated, accepted for publication