WEIGHTED NORM ESTIMATES FOR THE DYADIC PARAPRODUCT WITH VMO FUNCTION

DOI10.4134/BKMS.b200202zbMath1465.42014OpenAlexW3152591546MaRDI QIDQ4991416

Daewon Chung

Publication date: 3 June 2021

Full work available at URL: http://koreascience.kr:80/article/JAKO202109950460990.pdf

zbMATH Keywords

weighted norm estimatedyadic paraproductCarleson sequence\(A_2\)-weights

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Linear operators on function spaces (general) (47B38)

Cites Work

• The sharp weighted bound for general Calderón-Zygmund operators
• Extrapolation and sharp norm estimates for classical operators on weighted Lebesgue spaces
• Dyadic structure theorems for multiparameter function spaces
• Linear bound for the dyadic paraproduct on weighted Lebesgue space \(L_2(w)\)
• Sharp bounds for general commutators on weighted Lebesgue spaces
• Dyadic Harmonic Analysis and Weighted Inequalities: The Sparse Revolution
• Weighted norm inequalities for maximal functions and singular integrals
• Functions of Vanishing Mean Oscillation
• Extensions of Hardy spaces and their use in analysis
• The Bellman functions and two-weight inequalities for Haar multipliers
• Estimates for Operator Norms on Weighted Spaces and Reverse Jensen Inequalities
• Sharp estimates for the commutators of the Hilbert, Riesz transforms and the Beurling-Ahlfors operator on weighted Lebesgue spaces
• The sharp bound for the Hilbert transform on weighted Lebesgue spaces in terms of the classical A p characteristic
• Weighted Norm Inequalities for the Hardy Maximal Function
• Weighted Norm Inequalities for the Conjugate Function and Hilbert Transform

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