Weighted inequalities for multivariable dyadic paraproducts

DOI10.5565/PUBLMAT_55211_10zbMath1262.42004arXiv1001.1461OpenAlexW2049361608MaRDI QIDQ555271

Daewon Chung

Publication date: 22 July 2011

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.1461

zbMATH Keywords

anisotropic \(A_p\)-weightsmultivariable dyadic paraproductoperator-weighted inequalities

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35) Linear operators on function spaces (general) (47B38)

Related Items

Unnamed Item, Two weight commutators on spaces of homogeneous type and applications, Bounds for the Hilbert transform with matrix \(A_{2}\) weights, Dyadic harmonic analysis beyond doubling measures, Dyadic Harmonic Analysis and Weighted Inequalities: The Sparse Revolution, A two-weight inequality for essentially well localized operators with general measures

Cites Work

• Unnamed Item
• Extrapolation and sharp norm estimates for classical operators on weighted Lebesgue spaces
• Sharp weighted estimates for classical operators
• A rotation method which gives linear \(L^{p}\) estimates for powers of the Ahlfors--Beurling operator
• Linear bound for the dyadic paraproduct on weighted Lebesgue space \(L_2(w)\)
• Summation conditions on weights
• A sharp estimate on the norm of the martingale transform
• Heating of the Ahlfors-Beurling operator: weakly quasiregular maps on the plane are quasiregular
• Paraproducts and the exponential-square class
• Mean oscillations and equimeasurable rearrangements of functions
• Weighted Littlewood-Paley theory and exponential-square integrability
• Haar multipliers meet Bellman functions
• Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
• The Bellman functions and two-weight inequalities for Haar multipliers
• The sharp bound for the Hilbert transform on weighted Lebesgue spaces in terms of the classical A p characteristic
• The sharp weighted bound for the Riesz transforms
• Weighted Norm Inequalities for the Hardy Maximal Function