Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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PROJECTIONS AND SLICES OF MEASURES

  • Selmi, Bilel (Department of Mathematics Faculty of Sciences of Monastir University of Monastir) ;
  • Svetova, Nina (Institute of Mathematics and Information Technologies Petrozavodsk State University)
  • Received : 2020.06.25
  • Accepted : 2020.08.28
  • Published : 2021.04.30
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Abstract

We consider a generalization of the Lq-spectrum with respect to two Borel probability measures on ℝn having the same compact support, and also study their behavior under orthogonal projections of measures onto an m-dimensional subspace. In particular, we try to improve the main result of Bahroun and Bhouri [4]. In addition, we are interested in studying the behavior of the generalized lower and upper Lq-spectrum with respect to two measures on "sliced" measures in an (n - m)-dimensional linear subspace. The results in this article establish relations with the Lq-spectrum with respect to two Borel probability measures and its projections and generalize some well-known results.

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References

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