Document Type

Article

Publication Date

12-1-2003

Abstract

In this article the notion of multiplicative regularizator, a smooth function that by multiplication allows the extension of operators in spaces of distributions, is introduced, and several of the properties are obtained. Applications to Hilbert transforms, Carleman operators, fractional integration operators and generalized Abel operators are given. © 2003 Rocky Mountain Mathematics Consortium.

Publication Source (Journal or Book title)

Journal of Integral Equations and Applications

First Page

241

Last Page

262

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