On \(L^ 1\)-criteria for quasi-radial Fourier multipliers with applications to some anisotropic function spaces

DOI10.1007/BF01910307zbMath0544.42011MaRDI QIDQ796777

Walter Trebels, Henry Dappa

Publication date: 1983

Published in: Analysis Mathematica (Search for Journal in Brave)

zbMATH Keywords

dilation matrixembedding propertiesquasi-convexity theoremSchwartzian space

Mathematics Subject Classification ID

Multipliers for harmonic analysis in several variables (42B15)

Related Items

Two matrix weighted inequalities for commutators with fractional integral operators ⋮ On Riesz means with respect to a cylindric distance function ⋮ Unnamed Item ⋮ Commutators in the two scalar and matrix weighted setting ⋮ Maximum principle in potential theory and imbedding theorems for anisotropic spaces of differentiable functions ⋮ The Wiener algebra of absolutely convergent Fourier integrals: an overview ⋮ Weighted \(L_ p\)-potential theory on homogeneous groups ⋮ On Hypersingular Integrals and Anisotropic Bessel Potential Spaces ⋮ Mappings of homogeneous groups and imbeddings of functional spaces

Cites Work

• Besov spaces and applications to difference methods for initial value problems
• Parabolic maximal functions associated with a distribution
• Restrictions and extensions of potentials of \(H^p\) distributions
• Singular integrals and multiplier operators
• Iterated Littlewood-Paley Functions and a Multiplier Theorem
• Problems in harmonic analysis related to curvature
• SINGULAR INTEGRAL OPERATORS AND SEQUENCES OF CONVOLUTIONS IN $ L_p$ SPACES
• On Littlewood-Paley functions
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