CONTINUITY OF CALDERÓN–ZYGMUND OPERATORS ON BESOV OR TRIEBEL–LIZORKIN SPACES

DOI10.1142/S0219530508001055zbMath1268.42026OpenAlexW2097818643MaRDI QIDQ3520477

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Publication date: 26 August 2008

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

Full work available at URL: https://doi.org/10.1142/s0219530508001055

zbMATH Keywords

Triebel-Lizorkin spacesCalderón-Zygmund operatorsBesov spaces\(T(1)\) operators

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) (H^p)-spaces (42B30)

Related Items (14)

Applications of multiresolution analysis in Besov-Q type spaces and Triebel-Lizorkin-Q type spaces ⋮ Well-posedness of quasi-geostrophic equations with data in Besov-\(Q\) spaces ⋮ Fefferman-Stein decomposition for \(Q\)-spaces and micro-local quantities ⋮ Wavelets and holomorphic functions ⋮ Characterization of multiplier spaces by wavelets and logarithmic Morrey spaces ⋮ Wavelets and local Triebel–Lizorkin spaces with the Lorentz index ⋮ Stability and Morrey spaces related to multipliers ⋮ Wavelets and the well-posedness of incompressible magneto-hydrodynamic equations in Besov type \(Q\)-space ⋮ Boundedness of convolution-type operators on certain endpoint Triebel-Lizorkin spaces ⋮ An approximation method for convolution Calderón-Zygmund operators ⋮ Wavelets, Sobolev multipliers, and application to Schrödinger type operators with nonsmooth potentials ⋮ Commutators and rough kernels without zero homogeneous condition ⋮ Pseudo-annular decomposition and approximate rate of Calderón–Zygmund operators on Heisenberg group ⋮ Wavelet characterization of multiplier spaces

Cites Work

• Unnamed Item
• Une classe d'espaces fonctionnels de type BMO. Application aux intégrales singulières. (A class of functional spaces of BMO type. Application to singular integrals)
• Theory of function spaces
• A boundedness criterion for generalized Calderón-Zygmund operators
• Blocking analysis and \(T(1)\) theorem
• Modulation spaces and pseudodifferential operators
• Wavelets and paracommutators
• Fast wavelet transforms and numerical algorithms I

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