Coifman–Meyer multipliers: Leibniz-type rules and applications to scattering of solutions to PDEs

DOI10.1090/tran/7866zbMath1423.42038arXiv1904.03089OpenAlexW2934701171WikidataQ114093775 ScholiaQ114093775MaRDI QIDQ5240164

Alexander Thomson, Virginia Naibo

Publication date: 24 October 2019

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

Full work available at URL: https://arxiv.org/abs/1904.03089

zbMATH Keywords

fractional Leibniz rulesKato-Ponce inequalitiesCoifman-Meyer multipliersscattering of solutions to PDEsweighted Triebel-Lizorkin and Besov spaces

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Multipliers for harmonic analysis in several variables (42B15) Besov spaces and (Q_p)-spaces (30H25)

Related Items (14)

Weighted endpoint fractional Leibniz rule ⋮ Endpoint estimates for bilinear pseudodifferential operators with symbol in \(BS_{1, 1}^m\) ⋮ Bilinear wavelet representation of Calderón-Zygmund forms ⋮ Fractional Leibniz rules in the setting of quasi-Banach function spaces ⋮ Fractional Leibniz-type rules on spaces of homogeneous type ⋮ Rough bilinear hypersingular integrals ⋮ Erratum to: ``Weighted fractional Leibniz-type rules for bilinear multiplier operators ⋮ Counterexamples for multi-parameter weighted paraproducts ⋮ Some endpoint estimates for bilinear Coifman-Meyer multipliers ⋮ Weighted Leibniz-type rules for bilinear flag multipliers ⋮ Leibniz-type rules for bilinear and biparameter Fourier multiplier operators with applications ⋮ Leibniz-type rules for bilinear Fourier multiplier operators with Besov regularity ⋮ The Kato-Ponce inequality with polynomial weights ⋮ Equivalence of (quasi-)norms on a vector-valued function space and its applications to multilinear operators

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