A Limiting absorption principle for high-order Schr\"odinger operators in critical spaces

In this paper, we prove a limiting absorption principle for highorder Schrödinger operators with a large class of potentials which generalize some results by A. Ionescu and W. Schlag. Two key tools we use in this paper are the Stein–Tomas theorem in Lorentz spaces and a sharp trace lemma given by S. Agmon and L. Hörmander.

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