Displaying similar documents to “Boundedness on inhomogeneous Lipschitz spaces of fractional integrals, singular integrals and hypersingular integrals associated to non-doubling measures. ”

Singular integrals and the Newton diagram.

Anthony Carbery, Stephen Wainger, James Wright (2006)

Collectanea Mathematica

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We examine several scalar oscillatory singular integrals involving a real-analytic phase function φ(s,t) of two real variables and illustrate how one can use the Newton diagram of φ to efficiently analyse these objects. We use these results to bound certain singular integral operators.