El Mir, Hassine; Jerbi Amamou, Moufida Sur le prolongement des courants positifs fermés avec conditions sur les tranches. (Extending closed positive currents with conditions on slices). (French) Zbl 0762.32005 C. R. Acad. Sci., Paris, Sér. I 315, No. 7, 777-780 (1992). The authors’ abstract: “Let \(A\) be a compact, complete pluripolar subset in \(\Delta^{n-k}\) and let \(T\) be a positive \(d\)-closed current in \(\Delta^ k\times(\Delta^{n-k}\setminus A)\) of complex dimension \(k\) such that the slice \(\langle T,\pi,z'\rangle\) exists and has finite mass for every \(z'\) in a non pluripolar subset \(E\) of \(\Delta^ k\). We give sufficient conditions on \(T\), \(A\) and \(E\) to assert that the current has a closed positive extension across \(\Delta^ k\times A\)”. Reviewer: D.Barlet (Vandœuvre-les-Nancy) Cited in 2 Documents MSC: 32C30 Integration on analytic sets and spaces, currents 32D15 Continuation of analytic objects in several complex variables Keywords:closed positive currents; slices; extension PDFBibTeX XMLCite \textit{H. El Mir} and \textit{M. Jerbi Amamou}, C. R. Acad. Sci., Paris, Sér. I 315, No. 7, 777--780 (1992; Zbl 0762.32005)