The behavior, on \(\dot B_1^{0,1}\), of an oscillatory integral with polynomial phase function

DOI10.1006/JMAA.1998.5933zbMath0914.42007OpenAlexW2020007412MaRDI QIDQ1269093

Philip J. Gloor

Publication date: 27 June 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1998.5933

zbMATH Keywords

Besov spaceCalderón-Zygmund-type kernelconvolution oscillatory singular integral operator

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Multipliers for harmonic analysis in several variables (42B15) (H^p)-spaces (42B30)

Cites Work

• Harmonic analysis on nilpotent groups and singular integrals. I: Oscillatory integrals
• An oscillating integral in \(\dot{B}_ 1^{0,1}(\mathbb{R}^ n)\)
• Oscillatory kernels in certain Hardy-type spaces

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