Estimates for singular integrals and extrapolation

• Autorzy: Shuichi Sato
• Języki publikacji: EN

Abstrakty

EN

We study singular integrals with rough kernels, which belong to a class of singular Radon transforms. We prove certain estimates for the singular integrals that are useful in an extrapolation argument. As an application, we prove $L^{p}$ boundedness of the singular integrals under a certain sharp size condition on their kernels.

Kategorie tematyczne

• 42B25: Maximal functions, Littlewood-Paley theory
• 42B20: Singular and oscillatory integrals (Calder\'on-Zygmund, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2009
• Tom: 192
• Numer: 3
• Strony: 219-233

Daty

wydano

2009

Twórcy

autor

Shuichi Sato

• Department of Mathematics, Faculty of Education, Kanazawa University, Kanazawa 920-1192, Japan

Identyfikatory

DOI

10.4064/sm192-3-2