Some remarks on Vainikko integral operators in BV type spaces. (English) Zbl 1514.47075
Summary: In 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.
MSC:
| 47G10 | Integral operators |
| 26A45 | Functions of bounded variation, generalizations |
| 45D05 | Volterra integral equations |
| 45H05 | Integral equations with miscellaneous special kernels |
| 45P05 | Integral operators |
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