Estimates for maximal singular integrals

• Autorzy: Loukas Grafakos
• Języki publikacji: EN

Abstrakty

EN

It is shown that maximal truncations of nonconvolution L²-bounded singular integral operators with kernels satisfying Hörmander's condition are weak type (1,1) and $L^{p}$-bounded for 1 < p< ∞. Under stronger smoothness conditions, such estimates can be obtained using a generalization of Cotlar's inequality. This inequality is not applicable here and the point of this article is to treat the boundedness of such maximal singular integral operators in an alternative way.

Kategorie tematyczne

• 47G30: Pseudodifferential operators
• 46B70: Interpolation between normed linear spaces
• 42B25: Maximal functions, Littlewood-Paley theory
• 42B20: Singular and oscillatory integrals (Calder\'on-Zygmund, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2003
• Tom: 96
• Numer: 2
• Strony: 167-177

Daty

wydano

2003

Twórcy

autor

Loukas Grafakos

• Department of Mathematics, University of Missouri, Columbia, MO 65211, U.S.A.

Identyfikatory

DOI

10.4064/cm96-2-2