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Fredholm Theory of Pseudodifferential Operators Acting in Variable Exponent Spaces of Bessel Potentials on Smooth Manifolds

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Current Trends in Analysis and Its Applications

Part of the book series: Trends in Mathematics ((RESPERSP))

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Abstract

The paper is devoted to the of Fredholm property of pseudodifferential operators acting in the spaces of Bessel potentials connected with variable exponent Lebesgue spaces on smooth compact manifolds and non compact manifolds with conical structure at infinity.

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Author information

Authors and Affiliations

  1. National Polytechnic Institute, Av. Ipn, Esime Zacatenco, 07738, Mexico, D.F., Mexico

    Vladimir Rabinovich

Authors
  1. Vladimir Rabinovich
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Correspondence to Vladimir Rabinovich .

Editor information

Editors and Affiliations

  1. Dept. of Computer Sc. & Comp. Methods, Pedagogical University, KrakĂłw, Poland

    Vladimir V. Mityushev

  2. Imperial College London, London, United Kingdom

    Michael V. Ruzhansky

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Rabinovich, V. (2015). Fredholm Theory of Pseudodifferential Operators Acting in Variable Exponent Spaces of Bessel Potentials on Smooth Manifolds. In: Mityushev, V., Ruzhansky, M. (eds) Current Trends in Analysis and Its Applications. Trends in Mathematics(). Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-12577-0_67

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