Calderón-Zygmund operators and commutators on weighted Lorentz spaces

DOI10.1007/s12220-020-00560-6zbMath1489.46036OpenAlexW3107510328MaRDI QIDQ2050706

Javier Soria, Qinxiu Sun, Hongliang Li, María Jesús Carro

Publication date: 31 August 2021

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-020-00560-6

zbMATH Keywords

Calderón-Zygmund operatorsweighted Lorentz spaces

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)

Related Items (4)

Multilinear commutators related to maximal function on Morrey-Banach space and its application ⋮ Calderón-Zygmund operators and commutators on weak Musielak-Orlicz Hardy spaces ⋮ Weighted strong-type estimates on classical Lorentz spaces ⋮ Martingale Hardy-Lorentz spaces -- a unified approach

Cites Work

• Characterization of the weak-type boundedness of the Hilbert transform on weighted Lorentz spaces
• Factorization theorems for Hardy spaces in several variables
• Endpoint estimates for commutators of singular integral operators
• Convolutions, tensor products and multipliers of the Orlicz-Lorentz spaces
• Weighted Lorentz spaces and the Hardy operator
• Some new functional spaces
• Maximal Functions on Classical Lorentz Spaces and Hardy's Inequality with Weights for Nonincreasing Functions
• Recent developments in the theory of Lorentz spaces and weighted inequalities
• Boundedness of classical operators on classical Lorentz spaces
• Some classical operators on Lorentz space
• Weighted norm inequalities for maximal functions and singular integrals
• Modern Fourier Analysis
• Weighted Norm Inequalities for the Hardy Maximal Function
• Weighted Norm Inequalities for the Conjugate Function and Hilbert Transform
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