A priori estimates for higher order multipliers on a circle

DOI10.1090/S0002-9939-02-06439-0zbMath1064.42008OpenAlexW1536717770MaRDI QIDQ4536069

A. Alexandrou Himonas, Gerard Misiołek

Publication date: 17 June 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-02-06439-0

zbMATH Keywords

interpolationFourier transformmultiplier inequalities

Mathematics Subject Classification ID

Multipliers for harmonic analysis in several variables (42B15) Initial value problems for nonlinear higher-order PDEs (35G25)

Cites Work

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• Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
• Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation
• The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices
• The Cauchy problem for the fifth order KP equations
• Generalized Strichartz inequalities for the wave equation
• Higher-Order Nonlinear Dispersive Equations
• The cauchy problem for a shallow water type equation
• On Fourier coefficients and transforms of functions of two variables
• Existance and Uniqueness for Boussinesq type equations on a circle
• On nonlinear dispersive equations

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