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Some Interpolation Formulae for Grand and Small Lorentz Spaces

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Abstract

We consider grand and small Lorentz spaces involving slowly varying functions, for which we establish some interpolation formulae. Our approach is based on certain limiting reiteration formulae as well as on computation of certain K-functionals.

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Authors and Affiliations

  1. Department of Mathematics, Sukkur IBA University, Sukkur, Pakistan

    Irshaad Ahmed

  2. Dipartimento di Architettura, Universitá di Napoli Federico II, via Monteoliveto, 3, 80134, Naples, Italy

    Alberto Fiorenza

  3. Istituto per le Applicazioni del Calcolo “Mauro Picone”, Sezione di Napoli, Consiglio Nazionale delle Ricerche, via Pietro Castellino, 111, 80131, Naples, Italy

    Alberto Fiorenza

  4. Department of Mathematics, Government College University, Faisalabad, Pakistan

    Aneesa Hafeez

Authors
  1. Irshaad Ahmed
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  2. Alberto Fiorenza
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  3. Aneesa Hafeez
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Correspondence to Alberto Fiorenza.

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Ahmed, I., Fiorenza, A. & Hafeez, A. Some Interpolation Formulae for Grand and Small Lorentz Spaces. Mediterr. J. Math. 17, 57 (2020). https://doi.org/10.1007/s00009-020-1495-7

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  • DOI: https://doi.org/10.1007/s00009-020-1495-7

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