Singular integral operators generated by wavelet transforms

DOI10.1007/BF01225531zbMath0933.42008OpenAlexW2026301044MaRDI QIDQ1306299

Dmitri Ryabogin, Boris Rubin

Publication date: 21 March 2000

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01225531

zbMATH Keywords

\(L^p\)-boundednesswavelet transformCalderón's reproducing formulawavelet functionCalderón-Zygmund singular integral operator

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Integral operators (47G10) (H^p)-spaces (42B30)

Related Items (3)

Integrability spaces for the Fourier transform of a function of bounded variation ⋮ Singular integrals generated by zonal measures ⋮ Inversion and characterization of the hemispherical transform

Cites Work

• The Calderón reproducing formula, windowed \(X\)-ray transforms, and Radon transforms in \(L^p\)-spaces
• On the reproducing formula of Calderón
• Characterizations of \(H^1\) and applications to singular integrals
• On Singular Integrals
• Extensions of Hardy spaces and their use in analysis
• L^p bounds for singular integrals and maximal singular integrals with rough kernels
• Singular integrals on Hilbert space
• Singular Integral Operators Over a Hilbert Space
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