Fourier Multipliers of the Homogeneous Sobolev Space Ẇ 1,1

DOI10.1007/978-3-319-30961-3_7zbMath1404.42025OpenAlexW2520691252MaRDI QIDQ4555488

Aline Bonami

Publication date: 20 November 2018

Published in: Harmonic Analysis, Partial Differential Equations, Complex Analysis, Banach Spaces, and Operator Theory (Volume 1) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-30961-3_7

zbMATH Keywords

Sobolev spacesFourier multipliersde Leeuw theoremsOrnstein non-inequalities

Mathematics Subject Classification ID

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)

Cites Work

• On the continuity of Fourier multipliers on the homogeneous Sobolev spaces \(\dot{W}_1^1(R^d)\)
• Anisotropic Ornstein noninequalities
• A non-inequality for differential operators in the \(L_ 1\) norm
• Nonmultipliers of the Sobolev spaces \(W^{k,1}({\mathbb{R}}^ n)\)
• A new approach to counterexamples to \(L^1\) estimates: Korn's inequality, geometric rigidity, and regularity for gradients of separately convex functions
• On \(L_ p\) multipliers
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