Interpolation of spaces of smooth functions. Chebyshev rational approximation on the circle
type: Item
instance of: scholarly article
zbMATH Open document ID: 0993.41010
author: V. L. Krepkogorskij
publication date: 2002-09-29T00:00:00Z
Mathematics Subject Classification ID: 41A30
Mathematics Subject Classification ID: 46E35
zbMATH DE Number: 1685301
zbMATH Keywords: interpolation spaces
zbMATH Keywords: real method
zbMATH Keywords: spaces of smooth functions
MaRDI profile type: Publication
title: Interpolation of spaces of smooth functions. Chebyshev rational approximation on the circle
published in: St. Petersburg Mathematical Journal
review text: In his previous papers the author describes real interpolation spaces of the couple of Besov spaces \((B^{s_0}_{p_0}, B_{p_1}^{s_1})\) with \(0< p_i <\infty\), \(s_0\neq s_1\), \(p_0\neq p_1\). To present the result he introduced a four parametric family of spaces \(BL^{sk}_{pq} (=(B^{s_0}_{p_0}, B_{p_1}^{s_1}) _{\theta q})\). The same results were obtained in this situation for Lizorkin-Triebel spaces. In the present paper these results are extended to the case \(p_0= \infty\).
reviewed by: Yuri A. Brudnyi
description: scientific article; zbMATH DE number 1685301