In this paper we study pseudo-multipliers associated to the harmonic
oscillator (also called Hermite multipliers) belonging to the ideal of
$r$-nuclear operators on Lebesgue spaces.Comment: arXiv admin note: substantial text overlap with arXiv:1709.0796

Barraza, Edgardo

Cardona, Duván

English

arXiv

In this paper we study pseudo-multipliers associated to the harmonic oscillator (also called Hermite pseudo-multipliers) belonging to the ideal of r-nuclear operators on Lebesgue spaces. Our main result is Theorem 1.1 where we classify the r-nuclearity of pseudo-multipliers. We also investigate the nuclear trace of these operators

Characterization of nuclear pseudo-multipliers associated to the harmonic oscillator

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