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A simple proof of the real Riesz–Thorin interpolation theorem in the lower triangle

Volume 172 / 2023

Lech Maligranda Colloquium Mathematicum 172 (2023), 99-103 MSC: Primary 46E30; Secondary 46B70, 47A30. DOI: 10.4064/cm8942-10-2022 Published online: 27 October 2022

Abstract

A simple proof of the real Riesz–Thorin interpolation theorem for operators of strong types $(p_0, q_0)$ and $(\infty , \infty )$ in the lower triangle, that is, if $0 \lt p_0 \leq q_0 \lt \infty $ with the best estimate of the norms is presented.

Authors

  • Lech MaligrandaInstitute of Mathematics
    Poznań University of Technology
    Piotrowo 3A
    60-965 Poznań, Poland
    and
    Department of Engineering Sciences and Mathematics
    Luleå University of Technology
    971 87 Luleå, Sweden
    e-mail

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