Ψ-pseudodifferential operators and estimates for maximal oscillatory integrals

• Autorzy: Carlos E. Kenig , Wolfgang Staubach
• Języki publikacji: EN

Abstrakty

EN

We define a class of pseudodifferential operators with symbols a(x,ξ) without any regularity assumptions in the x variable and explore their $L^{p}$ boundedness properties. The results are applied to obtain estimates for certain maximal operators associated with oscillatory singular integrals.

Kategorie tematyczne

• 42B20: Singular and oscillatory integrals (Calder\'on-Zygmund, etc.)
• 35S05: Pseudodifferential operators

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2007
• Tom: 183
• Numer: 3
• Strony: 249-258

Daty

wydano

2007

Twórcy

autor

Carlos E. Kenig

• Department of Mathematics, University of Chicago, 5734 South University Avenue, Chicago, IL 60637, U.S.A.

autor

Wolfgang Staubach

• Department of Mathematics, Heriot-Watt University, Colin Maclaurin Building, Edinburgh, EH14 4AS, UK

Identyfikatory

DOI

10.4064/sm183-3-3