Parameterized Littlewood--Paley operators and their commutators on Herz spaces with variable exponents

DOI10.3906/mat-1412-52zbMath1424.42032OpenAlexW1523588566MaRDI QIDQ4633092

Li Juan Wang, Shuang Ping Tao

Publication date: 2 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1412-52

zbMATH Keywords

commutatorsLipschitz spacesBMO spacesHerz spaces with variable exponentparameterized Littlewood-Paley operators

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35)

Related Items

Fractional type Marcinkiewicz integrals over non-homogeneous metric measure spaces, \(\theta\)-type generalized fractional integral and its commutator on some non-homogeneous variable exponent spaces, Commutators of Littlewood-Paley \(g_\kappa^\ast\)-functions on non-homogeneous metric measure spaces, \(\theta\)-type Calderón-Zygmund operators and commutators in variable exponents Herz space, The Musielak-Orlicz Herz spaces, The Boundedness of Marcinkiewicz Integrals on Grand Variable Herz Spaces, Compactness of the commutators of intrinsic square functions on weighted Lebesgue spaces, Weighted estimates of variable kernel fractional integral and its commutators on vanishing generalized Morrey spaces with variable exponent, Parametric Littlewood-Paley operators on variable Herz-Morrey spaces, Weak type estimates of variable kernel fractional integral and their commutators on variable exponent Morrey spaces, Parametrized Littlewood-Paley operators on grand variable Herz spaces

Cites Work

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• The wavelet characterization of Herz-type Hardy spaces with variable exponent
• Boundedness of sublinear operators on Herz spaces with variable exponent and application to wavelet characterization
• Commutators of singular integrals on generalized \(L^p\) spaces with variable exponent
• Boundedness of commutators on Herz spaces with variable exponent
• Estimates for translation invariant operators in \(L^p\) spaces
• Compactness characterization of commutators for Littlewood-Paley operators
• Gradient estimates for a class of parabolic systems
• Weighted estimates for the multilinear commutators of the Littlewood-Paley operators
• Some weighted norm inequalities concerning the Schrödinger operators
• Electrorheological fluids: modeling and mathematical theory
• Regularity results for stationary electro-rheological fluids
• Boundedness for parametrized Littlewood-Paley operators with rough kernels on weighted weak Hardy spaces
• Boundedness of Littlewood-Paley operators and their commutators on Herz-Morrey spaces with variable exponent
• Maximal functions on Musielak--Orlicz spaces and generalized Lebesgue spaces
• The development of square functions in the work of A. Zygmund
• Vector-valued inequalities on Herz spaces and characterizations of Herz-Sobolev spaces with variable exponent
• Maximal functions measuring smoothness
• Parameterized Littlewood-Paley Operators and Their Commutators on Lebesgue Spaces with Variable Exponent
• Calderón-Zygmund operators on generalized Lebesgue spaces Lp(⋅) and problems related to fluid dynamics
• The fractional integral operators on Morrey spaces with variable exponent on unbounded domains
• The Boundedness of Littlewood-Paley Operators with Rough Kernels on Weighted (<em>L^q,L^p</em>)^&#945;(R^<em>n</em>) Spaces