Bilinear pseudodifferential operators with forbidden symbols on Lipschitz and Besov spaces.

DOI10.1016/S0022-247X(03)00245-2zbMath1037.35113MaRDI QIDQ1406521

Árpád Bényi

Publication date: 4 September 2003

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

zbMATH Keywords

Besov spacesbilinear operatorspseudodifferential operatorsLipschitz spaceselementary symbolsforbidden symbols

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Maximal functions, Littlewood-Paley theory (42B25) Pseudodifferential operators (47G30)

Related Items (14)

Bilinear Hörmander classes of critical order and Leibniz-type rules in Besov and local Hardy spaces ⋮ A bilinear pseudodifferential calculus ⋮ Commutators of bilinear pseudodifferential operators and Lipschitz functions ⋮ Fractional Leibniz rules in the setting of quasi-Banach function spaces ⋮ Sobolev space estimates and symbolic calculus for bilinear pseudodifferential operators ⋮ Bilinear pseudo-differential operators with symbols in \(BS^m_{1,1}\) on Triebel-Lizorkin spaces ⋮ On the Hörmander classes of bilinear pseudodifferential operators ⋮ On the bilinear Hörmander classes in the scales of Triebel-Lizorkin and Besov spaces ⋮ On the boundedness of bilinear operators on products of Besov and Lebesgue spaces ⋮ Weighted fractional Leibniz-type rules for bilinear multiplier operators ⋮ Weighted norm inequalities for paraproducts and bilinear pseudodifferential operators with mild regularity ⋮ Coifman–Meyer multipliers: Leibniz-type rules and applications to scattering of solutions to PDEs ⋮ Bilinear operators with homogeneous symbols, smooth molecules, and Kato-Ponce inequalities ⋮ Boundedness and compactness for the commutators of bilinear operators on Morrey spaces

Cites Work

• Pseudo-differential operators of the exotic class \(L^ o_{1,1}\) in spaces of Besov and Triebel-Lizorkin type
• Commutateurs d'intégrales singulières et opérateurs multilinéaires
• Une algebre maximale d'operateurs pseudo-differentiels d'operateurs pseudo-differentiels
• L^p-Estimates for certain non-regular eudo-differential operators.
• On Commutators of Singular Integrals and Bilinear Singular Integrals
• Symbolic Calculus and the Transposes of Bilinear Pseudodifferential Operators
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