Mixed‐norm estimates via the helicoidal method
Mathematika, Volume 70, Issue 3, July 2024.Abstract We prove multiple vector‐valued and mixed‐norm estimates for multilinear operators in Rd$\mathbb {R}^d$, more precisely for multilinear operators Tk$T_k$ associated to a symbol singular along a k$k$‐dimensional space and for multilinear variants of the Hardy‐Littlewood maximal function.
Cristina Benea, Camil Muscalu
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New estimates of Rychkov's universal extension operator for Lipschitz domains and some applications
Mathematische Nachrichten, Volume 297, Issue 4, Page 1407-1443, April 2024.Abstract Given a bounded Lipschitz domain Ω⊂Rn$\Omega \subset \mathbb {R}^n$, Rychkov showed that there is a linear extension operator E$\mathcal {E}$ for Ω$\Omega$, which is bounded in Besov and Triebel‐Lizorkin spaces. In this paper, we introduce some new estimates for the extension operator E$\mathcal {E}$ and give some applications.
Ziming Shi, Liding Yao
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Global minimizers of a large class of anisotropic attractive‐repulsive interaction energies in 2D
Communications on Pure and Applied Mathematics, Volume 77, Issue 2, Page 1353-1404, February 2024.Abstract We study a large family of Riesz‐type singular interaction potentials with anisotropy in two dimensions. Their associated global energy minimizers are given by explicit formulas whose supports are determined by ellipses under certain assumptions.
José A. Carrillo, Ruiwen Shu
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The relativistic Euler equations with a physical vacuum boundary: Hadamard local well-posedness, rough solutions, and continuation criterion. [PDF]
Arch Ration Mech Anal, 2022 Disconzi MM, Ifrim M, Tataru D.
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Maximal inequalities for stochastic convolutions in 2-smooth Banach spaces and applications to stochastic evolution equations. [PDF]
Philos Trans A Math Phys Eng Sci, 2020 van Neerven J, Veraar M.
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Littlewood-Paley Theory for Triangle Buildings. [PDF]
J Geom Anal, 2018 Steger T, Trojan B.
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Estimates of bilinear pseudodifferential operators associated to bilinear Hörmander classes in Besov and Triebel-Lizorkin spaces with variable exponents. [PDF]
J Inequal Appl, 2018 Xu J, Zhu J.
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Littlewood-Paley operators on Morrey spaces with variable exponent. [PDF]
ScientificWorldJournal, 2014 Tao S, Wang L.
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Differentiation of integrals in higher dimensions. [PDF]
Proc Natl Acad Sci U S A, 2013 Parcet J, Rogers KM.
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Bearing Fault Diagnosis Considering the Effect of Imbalance Training Sample. [PDF]
Entropy (Basel), 2019 Lin L, Wang B, Qi J, Wang D, Huang N.
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