On interpolation of Cesàro function spaces with polynomial weight

D. V. Prokhorov

Computing Center of the Far Eastern Branch of the Russian Academy of Sciences, Khabarovsk, Russia

Abstract: For all cases of the parameters, we give a description of a real interpolation space for a pair of Cesàro spaces with power weight. We show that the result of their real interpolation is a Cesàro space with another power weight whose exponent is defined by the interpolation parameters.

Keywords: Cesàro and Copson spaces, interpolation, $K$-method.

UDC: 517.51

Received: 19.11.2024
Revised: 24.01.2025
Accepted: 25.02.2025

DOI: 10.33048/smzh.2025.66.209

 English version: Siberian Mathematical Journal, 2025, 66:2, 315–325