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Ψ-pseudodifferential operators and estimates for maximal oscillatory integrals

Carlos E. Kenig, Wolfgang Staubach (2007)

Studia Mathematica

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.

ω-Calderón-Zygmund operators

Sijue Wu (1995)

Studia Mathematica

We prove a T1 theorem and develop a version of Calderón-Zygmund theory for ω-CZO when ω ∈ A ∞ .

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