On the boundedness of pseudo-differential operators

1971/04/01 by Alberto P. Calderón, Rémi Vaillancourt · 266 citations
Computer Science · Mathematics · Engineering · #Advanced Mathematical Modeling in Engineering #advanced mathematical theories #Stability and Controllability of Differential Equations #Mathematics #Differential (mechanical device) #Pure mathematics

paper · pdf · doi:10.2969/jmsj/02320374

published in Journal of the Mathematical Society of Japan 23(2) (Mathematical Society of Japan)

openalex publication_date 1971/04/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/06/26

Abstract

In this note we show that a bounded symbol p(x, ξ) with bounded deriva- tives ∂_x^β∂_ξ^ap(x, ξ) defines a bounded pseudo-differential operator

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