Boundedness of the wavelet integral operator on weighted function spaces

DOI10.1134/S1061920813030023zbMath1292.42021MaRDI QIDQ2441289

Nguyen Minh Chuong, Dao Van Duong

Publication date: 24 March 2014

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

boundednessBesov spacesBMO spaces\(H^1\) spaceswavelet integral operator

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40)

Related Items (6)

Continuous wavelet transform on Triebel-Lizorkin spaces ⋮ Certain properties of continuous fractional wavelet transform on Hardy space and Morrey space ⋮ A note on continuous fractional wavelet transform in ℝn ⋮ Continuous characterization of Besov spaces by the mean of the wavelet transform with rotations ⋮ Besov norms in terms of the S-transform ⋮ Besov norms of the continuous wavelet transform in variable Lebesgue space

Cites Work

• The wavelet transform on Sobolev spaces and its approximation properties
• Theory of function spaces
• Continuous wavelet transform and continuous multiscale analysis
• The wavelet transform of distributions
• A wavelet theory for local fields and related groups
• Wavelet transforms in Euclidean spaces -- their relation with wave front sets and Besov, Triebel-Lizorkin spaces
• Orthonormal bases of compactly supported wavelets
• Ten Lectures on Wavelets
• Convergence estimates of Galerkin-wavelet solutions to a Cauchy problem for a class of periodic pseudodifferential equations
• Characterizations of bounded mean oscillation
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