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Boundedness on inhomogeneous Lipschitz spaces of fractional integrals singular integrals and hypersingular integrals associated to non-doubling measures. (English) Zbl 1196.42013

For finite measure metric spaces with measure satisfying a growth condition there are proved “T1” type theorems on the boundedness of fractional integrals, singular integrals, and hypersingular integrals on inhomogeneous Lipschitz spaces. There is outhned the way of extension of the result to the case of infinite measure. Some interesting applications are given.

MSC:

42B20 Singular and oscillatory integrals (Calderón-Zygmund, etc.)
47G10 Integral operators
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References:

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