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On Gagliardo–Nirenberg inequalities with vanishing symbols

Rainer Mandel

Vol. 17 (2024), No. 10, 3447–3476
Abstract

We prove interpolation inequalities of Gagliardo–Nirenberg type involving Fourier symbols that vanish on hypersurfaces in d .

Keywords
Gagliardo–Nirenberg inequality, interpolation
Mathematical Subject Classification
Primary: 35A23
Milestones
Received: 28 March 2022
Revised: 23 December 2022
Accepted: 31 August 2023
Published: 21 November 2024
Authors
Rainer Mandel
Institute for Analysis
Karlsruhe Institute of Technology
Karlsruhe
Germany

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