Bloom weighted bounds for sparse forms associated to commutators

DOI10.1007/s00209-024-03471-2arXiv2306.17569MaRDI QIDQ6204760

Emiel Lorist, Sheldy Ombrosi, Andrei K. Lerner

Publication date: 2 April 2024

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2306.17569

zbMATH Keywords

iterated commutatorsbilinear sparse formsBloom weighted bounds

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Commutators, derivations, elementary operators, etc. (47B47) (H^p)-spaces (42B30)

Cites Work

• Sharp weighted bounds involving \(A_\infty\)
• Sharp weighted norm estimates beyond Calderón-Zygmund theory
• Weak type (1,1) bounds for rough operators
• Off-diagonal sharp two-weight estimates for sparse operators
• Sharp reverse Hölder property for \(A_\infty\) weights on spaces of homogeneous type
• Sparse bounds for maximal rough singular integrals via the Fourier transform
• On pointwise \(\ell^r\)-sparse domination in a space of homogeneous type
• The \(L^p\)-to-\(L^q\) boundedness of commutators with applications to the Jacobian operator
• A weak type estimate for rough singular integrals
• Sparse and weighted estimates for generalized Hörmander operators and commutators
• Some remarks on the pointwise sparse domination
• Weighted norm inequalities for rough singular integral operators
• Quantitative estimates and extrapolation for multilinear weight classes
• Intuitive dyadic calculus: the basics
• Two weight inequalities for bilinear forms
• On pointwise and weighted estimates for commutators of Calderón-Zygmund operators
• Sharp bounds for general commutators on weighted Lebesgue spaces
• A Commutator Theorem and Weighted BMO
• Estimates for Operator Norms on Weighted Spaces and Reverse Jensen Inequalities
• Commutators of singular integrals revisited
• Nonlinear potentials and two weight trace inequalities for general dyadic and radial kernels
• Singular integral operators with rough convolution kernels
• Corrigenda to “On composition of maximal operator and Bochner-Riesz operator at the critical index”
• Operator-free sparse domination
• Modern Fourier Analysis
• On composition of maximal operator and Bochner-Riesz operator at the critical index
• ImprovedA₁−A_∞and Related Estimates for Commutators of Rough Singular Integrals
• Fractional Bloom boundedness and compactness of commutators
• Multilinear commutators in the two‐weight setting

This page was built for publication: Bloom weighted bounds for sparse forms associated to commutators