Sparse domination theorem for multilinear singular integral operators with \(L^r\)-Hörmander condition

DOI10.1307/mmj/1516330973zbMath1393.42014arXiv1606.03925OpenAlexW3100860012MaRDI QIDQ1654426

Kang Wei Li

Publication date: 8 August 2018

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.03925

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Multipliers for harmonic analysis in several variables (42B15)

Related Items (26)

Sharp bounds for fractional type operators with $L^{\alpha,s}$-Hörmander conditions ⋮ Operator-free sparse domination ⋮ Quantitative weighted bounds for a class of singular integral operators ⋮ A metric approach to sparse domination ⋮ Sawyer-type inequalities for Lorentz spaces ⋮ Quantitative weighted estimates for harmonic analysis operators in the Bessel setting by using sparse domination ⋮ Weighted estimates for bilinear Fourier multiplier operators with multiple weights ⋮ Two weighted estimates for the commutators of multilinear maximal singular integral operators with Dini-type kernels ⋮ Failure of the Hörmander kernel condition for multilinear Calderón-Zygmund operators ⋮ Some estimates of multilinear operators on weighted amalgam spaces (\(L^p,L^q_w)_t(\mathbb{R}^n\)) ⋮ Upper endpoint estimates and extrapolation for commutators ⋮ The $L^p$-to-$L^q$ compactness of commutators with $p \gt q$ ⋮ Weighted estimates for the Calderón commutator ⋮ Limited range extrapolation with quantitative bounds and applications ⋮ Sparse bounds for maximal rough singular integrals via the Fourier transform ⋮ Sparse and weighted estimates for generalized Hörmander operators and commutators ⋮ Weighted inequalities for \(q\)-functions ⋮ On pointwise \(\ell^r\)-sparse domination in a space of homogeneous type ⋮ Weak and strong type estimates for the multilinear pseudo-differential operators ⋮ Some remarks on the pointwise sparse domination ⋮ Quantitative matrix weighted estimates for certain singular integral operators ⋮ Weighted norm inequalities for rough singular integral operators ⋮ Some remarks on the sparse dominations for commutators of multi(sub)linear operator ⋮ Weighted estimates for maximal bilinear rough singular integrals via sparse dominations ⋮ \(A_p - A_ \infty\) estimates for multilinear maximal and sparse operators ⋮ Sparse domination and weighted estimates for rough bilinear singular integrals

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