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arxiv: 1809.03876 · v1 · pith:O4F33SJUnew · submitted 2018-09-08 · 🧮 math.SP · math.FA

Nuclearity for Fourier integral operators in L^p-spaces

classification 🧮 math.SP math.FA
keywords conditionsfourierintegralnuclearityoperatorsspacescardonainfty
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In this note we study sharp sufficient conditions for the nuclearity of Fourier integral operators on $L^p$-spaces, $1< p\leq 2$. Our conditions and those presented in Cardona [2] provide a systematic investigation on the subject for all $1<p<\infty.$

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