Bilinear operators with homogeneous symbols, smooth molecules, and Kato-Ponce inequalities
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Publication:3130845
DOI10.1090/proc/13841zbMath1394.47048OpenAlexW2761510436MaRDI QIDQ3130845
Virginia Naibo, Joshua Brummer
Publication date: 29 January 2018
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/proc/13841
Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Pseudodifferential operators (47G30)
Related Items (15)
Bilinear Hörmander classes of critical order and Leibniz-type rules in Besov and local Hardy spaces ⋮ 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 ⋮ Sharp function estimates for bilinear pseudo-differential operators ⋮ Fractional Leibniz-type rules on spaces of homogeneous type ⋮ Some endpoint estimates for bilinear Coifman-Meyer multipliers ⋮ Smoothing properties of bilinear operators and Leibniz-type rules in Lebesgue and mixed Lebesgue spaces ⋮ Weighted Leibniz-type rules for bilinear flag multipliers ⋮ Leibniz-type rules for bilinear and biparameter Fourier multiplier operators with applications ⋮ Weighted fractional Leibniz-type rules for bilinear multiplier operators ⋮ Strongly singular bilinear Calderón-Zygmund operators and a class of bilinear pseudodifferential operators ⋮ Leibniz-type rules for bilinear Fourier multiplier operators with Besov regularity ⋮ Coifman–Meyer multipliers: Leibniz-type rules and applications to scattering of solutions to PDEs ⋮ Equivalence of (quasi-)norms on a vector-valued function space and its applications to multilinear operators
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