Weighted norm inequalities for paraproducts and bilinear pseudodifferential operators with mild regularity

DOI10.1007/s00041-008-9029-xzbMath1171.42009OpenAlexW2116094871MaRDI QIDQ1027733

Virginia Naibo, Diego Maldonado

Publication date: 30 June 2009

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

Full work available at URL: https://doi.org/10.1007/s00041-008-9029-x

zbMATH Keywords

Calderon-Zygmund operatorsparaproducts

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Pseudodifferential operators (47G30)

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Cites Work

• Unnamed Item
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• Bi-parameter paraproducts
• A discrete transform and decompositions of distribution spaces
• Weighted norm inequalities for certain pseudo-differential operators
• Sharp estimates for pseudo-differential operators with symbols of limited smoothness and commutators
• A boundedness criterion for generalized Calderón-Zygmund operators
• Weighted norm inequalities for pseudo-differential operators
• Weighted \(L^ p\)-estimates for pseudo-differential operators with non- regular symbols
• Pseudodifferential operators and nonlinear PDE
• Commutateurs d'intégrales singulières et opérateurs multilinéaires
• Bilinear pseudodifferential operators with forbidden symbols on Lipschitz and Besov spaces.
• Multilinear estimates and fractional integration
• \(L^p\)-boundedness for time-frequency paraproducts. II
• Multilinear Calderón-Zygmund theory
• Almost orthogonality and a class of bounded bilinear pseudodifferential operators
• Compensated compactness and Hardy spaces
• Nonregular pseudo-differential operators
• Pseudodifferential operators with rough symbols
• Commutators with Riesz potentials in one and several parameters
• Pseudo-differential operators with nonregular symbols
• A note on weighted estimates for certain classes of pseudodifferential operators
• Calderón-Zygmund operators on amalgam spaces and in the discrete case
• The Marcinkiewicz multiplier condition for bilinear operators
• Multi-linear operators given by singular multipliers
• Bilinear paraproducts revisited
• Calderón-zygmund operators and pseudo-differential operators
• Generalizations of Calderón-Zygmund operators
• Amalgams of 𝐿^{𝑝} and 𝑙^{𝑞}
• Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
• L^p-Estimates for certain non-regular eudo-differential operators.
• The L^p-boundedness of pseudo-differential operators with non-regular symbols
• Calderón-Zygmund operators and unconditional bases of weighted Hardy spaces
• Maximal operator and weighted norm inequalities for multilinear singular integrals
• Symbolic Calculus and the Transposes of Bilinear Pseudodifferential Operators
• Dyadic shifts and a logarithmic estimate for Hankel operators with matrix symbol
• Bilinear operators and the Jacobian-determinant on Besov spaces
• Paraproducts in one and several parameters
• Multilinear Calderón-Zygmund operators on Hardy spaces
• Bilinear operators with non-smooth symbol. I

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