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arXiv · 2110.15812

Bilinear embedding in Orlicz spaces for divergence-form operators with complex coefficients

Vjekoslav Kovač·Kristina Ana Škreb
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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 Dragi\v{c}evi\'{c} 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.

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BibTeXRIS

Vjekoslav Kovač, Kristina Ana Škreb. 2021-10-29. Bilinear embedding in Orlicz spaces for divergence-form operators with complex coefficients. https://doi.org/10.1016/j.jfa.2023.109884

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