On the boundedness of multilinear Littlewood-Paley \(g_\lambda^\ast\) function

DOI10.1016/J.MATPUR.2013.06.007zbMath1287.42017OpenAlexW2014858984MaRDI QIDQ2436823

Shaoguang Shi, Qing Ying Xue, Kôzô Yabuta

Publication date: 27 February 2014

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2013.06.007

zbMATH Keywords

Calderón-Zygmund decompositionMarcinkiewicz functionmultilinear Littlewood-Paley \(g_{\lambda}^*\) function

Mathematics Subject Classification ID

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

Related Items (25)

Estimates for iterated commutators of multilinear square functions with Dini-type kernels ⋮ Multilinear square functions with kernels of Dini's type ⋮ Existence of positive solutions for third-order semipositone boundary value problems on time scales ⋮ Boundedness of multilinear Littlewood-Paley operators on Amalgam-Campanato spaces ⋮ Iterated commutators of multilinear maximal square functions on some function spaces ⋮ Multilinear Calderón-Zygmund theory with geometric mean Hörmander conditions ⋮ Littlewood-Paley operators on spaces with variable exponent on homogeneous groups ⋮ The multilinear Littlewood-Paley operators with minimal regularity conditions ⋮ Some estimates of multilinear operators on weighted amalgam spaces (\(L^p,L^q_w)_t(\mathbb{R}^n\)) ⋮ Weak-type estimate for the Littlewood-Paley operators associated with Laplace-Bessel differential operator ⋮ On the weak boundedness of multilinear Littlewood-Paley functions ⋮ A class of multilinear bounded oscillation operators on measure spaces and applications ⋮ ON THE BILINEAR SQUARE FOURIER MULTIPLIER OPERATORS ASSOCIATED WITH FUNCTION ⋮ On the bilinear square Fourier multiplier operators and related multilinear square functions ⋮ On multilinear square function and its applications to multilinear Littlewood-Paley operators with non-convolution type kernels ⋮ Parametrized multilinear Littlewood-Paley operators on Hardy spaces ⋮ Endpoint estimates for commutators of mutilinear square function satisfying some integrable condition ⋮ Weighted Fréchet-Kolmogorov theorem and compactness of vector-valued multilinear operators ⋮ Existence and boundedness of multilinear Littlewood-Paley operators on Campanato spaces ⋮ Weighted bounds for multilinear square functions ⋮ Bi-parameter Littlewood-Paley operators with upper doubling measures ⋮ Boundedness of bi-parameter Littlewood-Paley operators on product Hardy space ⋮ Weak and strong type estimates for the multilinear Littlewood-Paley operators ⋮ Multilinear Littlewood-Paley-Stein operators on non-homogeneous spaces ⋮ Weighted norm inequalities for parametric Littlewood-Paley operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A Hörmander type multiplier theorem for multilinear operators
• New maximal functions and multiple weights for the multilinear Calderón-Zygmund theory
• Weighted estimates for a class of multilinear fractional type operators
• Weighted estimates for the multilinear commutators of the Littlewood-Paley operators
• Commutateurs d'intégrales singulières et opérateurs multilinéaires
• Multilinear estimates and fractional integration
• Multilinear Calderón-Zygmund theory
• On multilinear singular integrals of Calderón-Zygmund type
• On multilinear Littlewood-Paley operators
• On the theory of multilinear Littlewood-Paley \(g\)-function
• Weighted estimate for a class of Littlewood-Paley operators
• Inequalities for strongly singular convolution operators
• \(H^p\) spaces of several variables
• Weighted norm inequalities for multilinear Fourier multipliers
• Parametrized Littlewood–Paley operators on Hardy and weak Hardy spaces
• On Commutators of Singular Integrals and Bilinear Singular Integrals
• Maximal operator and weighted norm inequalities for multilinear singular integrals
• A problem on rough parametric Marcinkiewicz functions
• On Multilinear Fourier Multipliers of Limited Smoothness
• On some functions of Littlewood-Paley and Zygmund
• Some Maximal Inequalities
• Theorems on Fourier Series and Power Series (II)^†

This page was built for publication: On the boundedness of multilinear Littlewood-Paley \(g_\lambda^\ast\) function