\(C^ 1\) change of variable: Beurling-Helson type theorem and Hörmander conjecture on Fourier multipliers

DOI10.1007/BF01895838zbMath0798.42004OpenAlexW2007331242WikidataQ123115323 ScholiaQ123115323MaRDI QIDQ1321628

V. V. Lebedev, Alexander Olevskiĭ

Publication date: 30 October 1994

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/58161

zbMATH Keywords

Fourier transformFourier multipliersBanach spaceLipschitz condition

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Multipliers for harmonic analysis in several variables (42B15) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Multipliers in one variable harmonic analysis (42A45)

Related Items

On Fourier integral operators with Hölder-continuous phase, On the global boundedness of Fourier integral operators, Examples of pseudo-differential operators in \(L^ p\) spaces with unbounded imaginary powers, Unimodular Fourier multipliers for modulation spaces, Functions operating on modulation spaces and nonlinear dispersive equations, Boundedness of Fourier Integral Operators on $\mathcal {F}L^p$ spaces, Changes of variables in modulation and Wiener amalgam spaces, Homeomorphic changes of variable and Fourier multipliers, Unimodular bilinear Fourier multipliers on \(L^p\) spaces, On isomorphisms between weighted -algebras

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