Applications of Multivariate Asymptotics I: Boundedness of a maximal operator on

DOI10.1515/FORUM.2009.037zbMath1207.42019MaRDI QIDQ3182453

Ben Lichtin

Publication date: 9 October 2009

Published in: Forum Mathematicum (Search for Journal in Brave)

zbMATH Keywords

Fourier transformmaximal operatormonomializationmultivariate asymptoticsdamped oscillatory integrals

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Approximation in the complex plane (30E10)

Related Items (1)

Archimedean zeta functions and oscillatory integrals

Cites Work

• Averages of functions over hypersurfaces in \(\mathbb R^n\)
• \(L^ p\)-estimates for oscillatory integrals in several variables
• Zeta-function of monodromy and Newton's diagram
• Damped oscillatory integrals and boundedness of maximal operators associated to mixed homogeneous hypersurfaces
• The asymptotics of a lattice point problem associated to a finite number of polynomials. I
• Oscillatory integrals and maximal averages over homogeneous surfaces
• Uniformization of Analytic Spaces
• Averages over homogeneous hypersurfaces in
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