Some remarks on Vainikko integral operators in BV type spaces

Author:

Angeloni LauraORCID,Appell Jürgen,Reinwand Simon

Abstract

AbstractIn this paper we study Vainikko integral operators which are similar to so-called cordial integral operators and contain the classical Hardy operator, the Schur operator, and the Hilbert transform as special cases. For such operators we obtain norm estimates and equalities, mainly in BV type spaces in the sense of Jordan, Wiener, Riesz, and Waterman. Several examples are also discussed.

Funder

Università degli Studi di Perugia

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference32 articles.

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