The common Hardy space and BMO space for singular integral operators associated with isotropic and anisotropic homogeneity

DOI10.1016/j.jmaa.2013.12.037zbMath1312.42020OpenAlexW2024867534MaRDI QIDQ2338759

Chao-Qiang Tan, Xiao-Sheng Zhuang

Publication date: 27 March 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.12.037

zbMATH Keywords

Hardy spacessingular integral operatorsBMO spacesdiscrete Calderón reproducing formulaisotropic/anisotropic homogeneity

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35) (H^p)-spaces (42B30)

Uses Software

• ShearLab

Cites Work

• Gabor shearlets
• A discrete transform and decompositions of distribution spaces
• Discrete Calderón's identity, atomic decomposition and boundedness criterion of operators on multiparameter Hardy spaces
• Hardy spaces associated with different homogeneities and boundedness of composition operators
• Boundedness of classical Calderón-Zygmund convolution operators on product Hardy space
• Some Further Classes of Pseudo-Differential and Singular-Integral Operators Arising in Boundary-Value Problems I Composition of Operators
• Calderón-Zygmund theory for product domains: H ^p spaces
• H ^p theory for the poly-disc
• New tight frames of curvelets and optimal representations of objects with piecewise C² singularities
• ShearLab: A Rational Design of a Digital Parabolic Scaling Algorithm
• Some Maximal Inequalities
• Unnamed Item

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