A simple proof of the real Riesz–Thorin interpolation theorem in the lower triangle
Volume 172 / 2023
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.