Berezhnoi, E. I. Can Yano’s extrapolation theorem be strengthened? (English. Russian original) Zbl 1337.46017 Funct. Anal. Appl. 49, No. 2, 145-147 (2015); translation from Funkts. Anal. Prilozh. 49, No. 2, 82-85 (2015). Summary: It is shown that an extrapolation theorem for \(L^p\) proposed by the author and a Yano type theorem implied by it cannot be improved. Cited in 3 Documents MSC: 46B70 Interpolation between normed linear spaces Keywords:extrapolation theorem; Lebesgue space; Lorentz space PDFBibTeX XMLCite \textit{E. I. Berezhnoi}, Funct. Anal. Appl. 49, No. 2, 145--147 (2015; Zbl 1337.46017); translation from Funkts. Anal. Prilozh. 49, No. 2, 82--85 (2015) Full Text: DOI References: [1] Yano, S., No article title, J.Math. Soc. Japan., 3, 296-305 (1951) · Zbl 0045.17901 [2] Berezhnoi, E. I.; Perfil’ev, A. A., No article title, Funkts. Anal. Prilozhen., 34, 66-68 (2000) [3] Milman, M., Extrapolation and Optimal Decompositions: with Applications to Analysis (1994), Berlin · Zbl 0852.46059 [4] Jawerth, B.; Milman, M., No article title, Memoirs Amer. Math. Soc., 89, 1-82 (1991) · Zbl 0733.46040 [5] Karadzhov, G. E.; Milman, M., No article title, J. Approx. Theory, 133, 38-99 (2005) · Zbl 1081.46018 [6] Astashkin, S. V., No article title, Sibirsk. Mat. Zh., 46, 264-289 (2005) · Zbl 1107.46017 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.