1Department of Mathematics and Mechanics Samara State University Acad. Pavlova 1 443011 Samara, Russia 2Department of Engineering Sciences and Mathematics Luleå University of Technology SE-971 87 Luleå, Sweden
Studia Mathematica, Tome 215 (2013) no. 1, pp. 39-69
The interpolation properties of Cesàro sequence and function spaces are investigated. It is shown that ${\rm Ces}_p(I)$ is an interpolation space between ${\rm Ces}_{p_0}(I)$ and ${\rm Ces}_{p_1}(I)$ for $1 p_0 p_1 \leq \infty $ and $1/p = (1 - \theta )/p_0 + \theta /p_1$ with $0 \theta 1$, where $I = [0, \infty )$ or $[0, 1]$. The same result is true for Cesàro sequence spaces. On the other hand, ${\rm Ces}_p[0, 1]$ is not an interpolation space between ${\rm Ces}_1[0, 1]$ and ${\rm Ces}_{\infty }[0, 1]$.
Keywords:
interpolation properties ces sequence function spaces investigated shown ces interpolation space between ces ces leq infty theta theta theta where infty result ces sequence spaces other ces interpolation space between ces ces infty
Affiliations des auteurs :
Sergey V. Astashkin
1
;
Lech Maligranda
2
1
Department of Mathematics and Mechanics Samara State University Acad. Pavlova 1 443011 Samara, Russia
2
Department of Engineering Sciences and Mathematics Luleå University of Technology SE-971 87 Luleå, Sweden
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Sergey V. Astashkin; Lech Maligranda. Interpolation of Cesàro sequence and function spaces. Studia Mathematica, Tome 215 (2013) no. 1, pp. 39-69. doi: 10.4064/sm215-1-4
