Two weight estimates with matrix measures for well localized operators

DOI10.1090/tran/7400zbMath1417.42013arXiv1611.06667OpenAlexW2963896098MaRDI QIDQ4633618

Amalia Culiuc, Brett D. Wick, Kelly Bickel, S. R. Treil'

Publication date: 3 May 2019

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.06667

zbMATH Keywords

boundednessmartingalesintegral operatorsmatrix measuresCarleson embedding theoremfiltered spaces

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Integral operators (47G10) Martingales and classical analysis (60G46)

Related Items (5)

Two‐weight Tb theorems for well‐localized operators ⋮ Real-variable characterizations and their applications of matrix-weighted Triebel-Lizorkin spaces ⋮ Dyadic Harmonic Analysis and Weighted Inequalities: The Sparse Revolution ⋮ Sparse bounds for maximal rough singular integrals via the Fourier transform ⋮ Failure of the matrix weighted bilinear Carleson embedding theorem

Cites Work

• The sharp weighted bound for general Calderón-Zygmund operators
• Uniform sparse domination of singular integrals via dyadic shifts
• Weighted martingale multipliers in the non-homogeneous setting and outer measure spaces
• A study of the matrix Carleson embedding theorem with applications to sparse operators
• Bounds for the Hilbert transform with matrix \(A_{2}\) weights
• Two weight inequalities for individual Haar multipliers and other well localized operators
• Two weight \(L^{p}\) estimates for paraproducts in non-homogeneous settings
• Convex body domination and weighted estimates with matrix weights
• Bounds for Calderón-Zygmund operators with matrix \(A_{2}\) weights
• Well-Localized Operators on Matrix Weighted $L^2$ Spaces
• The Carleson Embedding Theorem with Matrix Weights
• Matrix weighted norm inequalities for commutators and paraproducts with matrix symbols
• Sharp $A_2$ estimates of Haar shifts via Bellman function

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