On Riesz means with respect to a cylindric distance function

DOI10.1007/BF02020763zbMath0668.42007OpenAlexW2316051751MaRDI QIDQ1118118

Hajo Luers

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1007/bf02020763

zbMATH Keywords

Riesz meanscritical indexAbel meansradial Fourier multiplierRiesz summation multiplier

Mathematics Subject Classification ID

Multipliers for harmonic analysis in several variables (42B15) Convergence and divergence of series and sequences of functions (40A30)

Related Items (7)

Riesz means associated with convex polygons in \(\mathbb R^2\) ⋮ Weak type estimates for maximal operators over convex hypersurfaces ⋮ Remarks on the multiplier operators associated with a cylindrical distance function ⋮ Bochner-Riesz means with respect to a generalized cylinder ⋮ Riesz means associated with certain product type convex domain ⋮ Weak type estimates for maximal operators with a cylindric distance function ⋮ Bochner-Riesz means with respect to a rough distance function

Cites Work

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• On certain exponential sums arising in multiple Fourier series
• On \(L^ 1\)-criteria for quasi-radial Fourier multipliers with applications to some anisotropic function spaces
• Applications de la théorie des espaces d'interpolation dans l'analyse harmonique
• Multipliers in $L^p$ and interpolation
• Shorter Notes: A Note on Fourier Multipliers

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