Growth of 𝐿^{𝑝} Lebesgue constants for convex polyhedra and other regions

DOI10.1090/S0002-9947-09-04627-3zbMath1178.42015MaRDI QIDQ5322892

Laura De Carli, J. Marshall Ash

Publication date: 23 July 2009

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Dirichlet kernelLebesgue constantkernel for convex setkernel for polyhedra

Mathematics Subject Classification ID

Multipliers for harmonic analysis in several variables (42B15) Summability in several variables (42B08) Multipliers in one variable harmonic analysis (42A45) Trigonometric polynomials, inequalities, extremal problems (42A05)

Related Items (max. 100)

On the growth of Lebesgue constants for convex polyhedra ⋮ Triangular Dirichlet kernels and growth of \(L^{p}\) Lebesgue constants ⋮ Asymptotics of the Lebesgue constants for a $d$-dimensional simplex ⋮ Split functions, Fourier transforms and multipliers

Cites Work

• Triangular Dirichlet kernels and growth of \(L^{p}\) Lebesgue constants
• Lebesgue constants for spherical partial sums
• Exponential sums with coefficients 0 or 1 and concentrated \(L^p\) norms
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