Demonstrates eigenfunctions that meet Lp bounds in multidimensional Hermite operators, suggesting new insights.
The goal of the paper is to provide a sequence of eigenfunctions that saturates the L p bounds obtained by Koch and Tataru for the multidimensional Hermite operator. More precisely, several such sequences of eigenfunctions have already been identified by Koch and Tataru, and we present an example in another range of p .
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Rafik Imekraz (2026) studied this question.
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