Bilinear paraproducts revisited

DOI10.1002/mana.200710157zbMath1203.42028OpenAlexW2033423952WikidataQ61611298 ScholiaQ61611298MaRDI QIDQ2786304

Diego Maldonado, Rodolfo H. Torres, Árpád Bényi, Andrea R. Nahmod

Publication date: 21 September 2010

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.200710157

zbMATH Keywords

waveletsSobolev spacesTriebel-Lizorkin spacessingular integralsLittlewood-Paley theorymaximal functionsmultilinear operatorsmoleculesalmost diagonal condition

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) General harmonic expansions, frames (42C15) Pseudodifferential operators (47G30) Pseudodifferential operators and other generalizations of partial differential operators (35S99)

Related Items (7)

Boundedness of paraproducts on spaces of homogeneous type I ⋮ Multilinear Calderón-Zygmund operators with kernels of Dini's type and applications ⋮ Multilinear dyadic operators and their commutators ⋮ Multilinear paraproducts revisited ⋮ On the boundedness of bilinear operators on products of Besov and Lebesgue spaces ⋮ Weighted norm inequalities for paraproducts and bilinear pseudodifferential operators with mild regularity ⋮ A bilinear T(b) theorem for singular integral operators

Cites Work

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• Bilinear singular integral operators, smooth atoms and molecules
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• Discrete decompositions for bilinear operators and almost diagonal conditions
• Multi-linear operators given by singular multipliers
• The Full T1 Theorem for Certain Triebel - Lizorkin Spaces
• Maximal operator and weighted norm inequalities for multilinear singular integrals
• Symbolic Calculus and the Transposes of Bilinear Pseudodifferential Operators
• Multilinear almost diagonal estimates and applications
• Paraproducts in one and several parameters

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