The Hörmander multiplier theorem. II: The bilinear local \(L^2\) case

DOI10.1007/s00209-017-1979-8zbMath1405.42014arXiv1607.02622OpenAlexW2495387707MaRDI QIDQ1668437

Danqing He, Loukas Grafakos, Peter Honzík

Publication date: 28 August 2018

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.02622

zbMATH Keywords

waveletsmultilinear operatorsbilinear multipliersHörmander multipliers

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Multipliers for harmonic analysis in several variables (42B15)

Related Items (9)

Initial 𝐿²×⋯×𝐿² bounds for multilinear operators ⋮ On the boundedness of multilinear Fourier multipliers on Hardy spaces ⋮ The Hörmander multiplier theorem for \(n\)-linear operators ⋮ \(L^2\times L^2 \rightarrow L^1\) boundedness criteria ⋮ Limited smoothness conditions with mixed norms for bilinear Fourier multipliers ⋮ Maximal operators associated with bilinear multipliers of limited decay ⋮ The Hörmander multiplier theorem. III: The complete bilinear case via interpolation ⋮ The lattice bump multiplier problem ⋮ The multilinear Hörmander multiplier theorem with a Lorentz-Sobolev condition

Cites Work

• Unnamed Item
• Unnamed Item
• Bi-parameter paraproducts
• A Hörmander type multiplier theorem for multilinear operators
• Estimates near \(L^ 1\) for Fourier multipliers and maximal functions
• Parabolic maximal functions associated with a distribution. II
• Commutateurs d'intégrales singulières et opérateurs multilinéaires
• Multilinear estimates and fractional integration
• Multilinear Calderón-Zygmund theory
• Minimal smoothness conditions for bilinear Fourier multipliers
• Multilinear multiplier theorems and applications
• The Marcinkiewicz multiplier condition for bilinear operators
• The Hörmander multiplier theorem for multilinear operators
• Orthonormal bases of compactly supported wavelets
• Ten Lectures on Wavelets
• On Multilinear Fourier Multipliers of Limited Smoothness

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