A multilinearization of Littlewood-Paley's g-function and Carleson measures

DOI10.2748/tmj/1178229252zbMath0495.47024OpenAlexW2029791306MaRDI QIDQ1169666

Kôzô Yabuta

Publication date: 1982

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178229252

zbMATH Keywords

Carleson measuresCarleson measureBMO functionsbounded mean oscillationLittlewood-Paley's g-functionHardy spaces Hpmultilinear convolution operatorweight functions related to the Dini condition

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Linear operators on function spaces (general) (47B38) (H^p)-spaces (42B30) Integral, integro-differential, and pseudodifferential operators (47Gxx)

Related Items (13)

Estimates for iterated commutators of multilinear square functions with Dini-type kernels ⋮ Multilinear square functions with kernels of Dini's type ⋮ The Hörmander multiplier theorem for multilinear operators ⋮ Boundedness of multilinear Littlewood-Paley operators on Amalgam-Campanato spaces ⋮ Iterated commutators of multilinear maximal square functions on some function spaces ⋮ On multilinear square function and its applications to multilinear Littlewood-Paley operators with non-convolution type kernels ⋮ Multiple weighted estimates for vector-valued commutators of multilinear square functions ⋮ Endpoint estimates for commutators of mutilinear square function satisfying some integrable condition ⋮ Existence and boundedness of multilinear Littlewood-Paley operators on Campanato spaces ⋮ A Hörmander type multiplier theorem for multilinear operators ⋮ On the boundedness of bilinear operators on products of Besov and Lebesgue spaces ⋮ Bilinear Fourier multipliers ⋮ On the theory of multilinear Littlewood-Paley \(g\)-function

Cites Work

• Commutateurs d'intégrales singulières et opérateurs multilinéaires
• \(H^p\) spaces of several variables
• Extensions of Hardy spaces and their use in analysis
• Intermediate spaces and interpolation, the complex method
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A multilinearization of Littlewood-Paley's g-function and Carleson measures