On Gagliardo-Nirenberg Inequalities with vanishing symbols
Rainer Mandel
TL;DR
This paper establishes new Gagliardo-Nirenberg interpolation inequalities involving Fourier symbols that vanish on hypersurfaces, expanding the understanding of such inequalities in harmonic analysis.
Contribution
It introduces a novel class of Gagliardo-Nirenberg inequalities with Fourier symbols vanishing on hypersurfaces, providing new tools for analysis.
Findings
Derived interpolation inequalities with vanishing Fourier symbols
Extended classical Gagliardo-Nirenberg inequalities to new settings
Potential applications in harmonic analysis and PDEs
Abstract
We prove interpolation inequalities of Gagliardo-Nirenberg type involving Fourier symbols that vanish on hypersurfaces in .
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Taxonomy
TopicsMathematical Analysis and Transform Methods · Spectral Theory in Mathematical Physics · Advanced Harmonic Analysis Research