𝐿^{𝑝}-nuclear pseudo-differential operators on ℤ and 𝕊¹

Delgado, Julio; Wong, M.

doi:10.1090/S0002-9939-2013-11771-5

$L^p$-nuclear pseudo-differential operators on $\mathbb {Z}$ and $\mathbb {S}^1$
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by Julio Delgado and M. W. Wong

Proc. Amer. Math. Soc. 141 (2013), 3935-3942

DOI: https://doi.org/10.1090/S0002-9939-2013-11771-5

Published electronically: July 25, 2013

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Abstract:

Conditions for pseudo-differential operators from $L^{p_1}(\mathbb {Z})$ into $L^{p_2}(\mathbb {Z})$ and from $L^{p_1}({\mathbb S}^1)$ into $L^{p_2}({\mathbb S}^1)$ to be nuclear are presented for $1\leq p_1$, $p_2<\infty .$ In the cases when $p_1=p_2,$ the trace formulas are given.

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