On Schatten-von Neumann class properties of pseudo-differential operators. The Cordes-Kato method

2005/11/03 by Gruia Arsu, Arsu, Gruia
Computer Science · Mathematics · #35S05 #42B15 #42B35 #43Axx #46-XX #47-XX #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #Spectral Theory in Mathematical Physics #math.AP #math.FA #msc:35S05 #msc:42B15 #msc:42B35 #msc:43Axx #msc:46-XX #msc:47-XX

paper · pdf · doi:10.48550/arxiv.math/0511080

openalex publication_date 2005/11/03 · arxiv created 2006/10/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate the Schatten-class properties of pseudo-differential operators with the (revisted) method of Cordes and Kato. As symbol classes we use classes similar to those of Cordes in which the L^∞% -conditions are replaced by L^p-conditions, 1≤ p<∞ .

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