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We establish boundedness results for bilinear singular integral operators with rough homogeneous kernels whose restriction to the unit sphere belongs to the Orlicz space $L(\log L)^\alpha$.
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Modern Fourier Analysis.,
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C. Muscalu, Calderón Commutators and the Cauchy integral on Lipschitz curves revisited: I. First commutator and generalizations , Rev. Mat. Iberoam. 30
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B. Park, Some maximal inequalities on Triebel–Lizorkin spaces for p = ∞ p=\infty , Math. Nachr. 292
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L. Grafakos and R. Torres, Multilinear Calderón-Zygmund theory , Adv. Math. 165
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2019
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L 2 × L 2 → L 1 L^{2}\times L^{2}\rightarrow L^{1} boundedness criteria ,
L. Grafakos, D. He, and L. Slavíková, · 2020
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B. Park, Equivalence of (quasi–)norms on a vector–valued function space and its applications to multilinear operators , Indiana Univ. Math. J. 70
2021
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G. Dosidis and L. Slavíková, Multilinear singular integrals with homogeneous kernels near L 1 L^{1} , Math. Ann. 389
2024
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L. Grafakos, D. He, P. Honzík, and B. Park, Multilinear rough singular integral operators , J. Lond. Math. Soc. (2) 109
2024
Closest in time.