Wavelet multipliers on 𝐿^{𝑝}(ℝⁿ)

DOI10.1090/S0002-9939-07-09052-1zbMath1134.47033OpenAlexW1493425563MaRDI QIDQ5438473

Alip Mohammed, Yu Liu, Man-Wah Wong

Publication date: 23 January 2008

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-07-09052-1

zbMATH Keywords

\(L^p\)-boundednessFourier multiplierslocalization operatorswavelet multipliers\(L^p\)-compactnessHilbert--Schmidt operators

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Linear operators on function spaces (general) (47B38) Integral operators (47G10) Pseudodifferential operators (47G30)

Related Items (8)

Boundedness and compactness of localization operators for Weinstein-Wigner transform ⋮ WATSON WAVELET TRANSFORM: CONVOLUTION PRODUCT AND TWO-WAVELET MULTIPLIERS ⋮ Wavelet multiplier associated with the Watson transform ⋮ Characterization of coorbit spaces with phase-space covers ⋮ Frames adapted to a phase-space cover ⋮ L^p-boundedness and compactness of wavelet multipliers for integral operators ⋮ Sampling and Pseudo-Differential Operators ⋮ Boundedness and compactness of localization operators on the affine group

Cites Work

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• Two-wavelet localization operators on \(L^p(\mathbb{R}^n)\) for the Weyl-Heisenberg group
• \(L^{p}\) boundedness and compactness of localization operators
• Time-frequency localization operators: a geometric phase space approach
• Ten Lectures on Wavelets
• Wavelet multipliers and signals
• 𝐿^{𝑝} boundedness of localization operators associated to left regular representations

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