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    • Strichartz Estimates for the Schrödinger Propagator for the Laguerre Operator

      Vijay Kumar Sohani

      Volume 123 Issue 4 November 2013 pp 525-537

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/123/04/0525-0537

    • Keywords

       

      Laguerre operator; Laguerre functions; homogeneous and inhomogeneous Strichartz estimates.

    • Abstract

       

      We obtain homogeneous Strichartz estimate for the Schrödinger propagator $e^{-itL_\alpha}$ for the Laguerre operator $L_\alpha$ on $\mathbb{R}^n_+$. We follow regularization technique as introduced in J. Funct. Anal. 224(2) (2005) 371–385. We also establish inhomogeneous Strichartz estimates for different admissible pairs.

    • Author Affiliations

       

      Vijay Kumar Sohani1

      1. Harish-Chandra Research Institute, Allahabad 211 019, India

    • Dates

       
      Published
      November 2013
      Manuscript received
      6 July 2012
      Manuscript revised
      8 October 2012

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