Wavelets and paracommutators

DOI10.1007/BF02559500zbMath0801.47015MaRDI QIDQ1312333

Li Zhong Peng

Publication date: 1 December 1994

Published in: Arkiv för Matematik (Search for Journal in Brave)

zbMATH Keywords

wavelet basesSchatten-von Neumann classJanson-Peetre paracommutators

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Linear operators on function spaces (general) (47B38)

Related Items (6)

Toeplitz and Hankel type operators on Bergman space ⋮ Lipschitz estimates in quasi-Banach Schatten ideals ⋮ CONTINUITY OF CALDERÓN–ZYGMUND OPERATORS ON BESOV OR TRIEBEL–LIZORKIN SPACES ⋮ Estimates for Schur multipliers and double operator integrals -- a wavelet approach ⋮ Localization Operators for Two-Dimensional Stockwell Transforms ⋮ Multilinear Localization Operators Associated to Quaternion Fourier Transforms

Cites Work

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• Nearly weakly orthonormal sequences, singular value estimates, and Calderon-Zygmund operators
• A note on \(C_ p\) estimates for certain kernels
• On the Hausdorff-Young theorem for integral operators
• On the compactness of paracommutators
• A kind of multilinear operator and the Schatten-von Neumann classes
• \(c_ p\)
• Fast wavelet transforms and numerical algorithms I
• Paracommutators of Schatten- von Neumann class $S_p$, $0 < p < 1$.
• Paracommutators-Boundedness and Schatten-Von Neumann Properties

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