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Two-sided estimates for root vector functions of the Dirac operator

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Abstract

We consider the one-dimensional Dirac operator. We derive a shift formula for its root vector functions and prove anti-a priori and two-sided estimates for various L p -norms of these functions.

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Authors and Affiliations

  1. Institute for Mathematics and Mechanics, National Academy of Sciences, Baku, Azerbaijan

    V. M. Kurbanov & A. I. Ismailova

Authors
  1. V. M. Kurbanov
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  2. A. I. Ismailova
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Original Russian Text © V.M. Kurbanov, A.I. Ismailova, 2012, published in Differentsial’nye Uravneniya, 2012, Vol. 48, No. 4, pp. 487–497.

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Kurbanov, V.M., Ismailova, A.I. Two-sided estimates for root vector functions of the Dirac operator. Diff Equat 48, 494–505 (2012). https://doi.org/10.1134/S0012266112040040

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  • DOI: https://doi.org/10.1134/S0012266112040040

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