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