Functional Classes with "Dominated" Mixed Derivative and the K-Functional

✍ Scribed by E. Belinskii

• Book ID: 102577597
• Publisher: Elsevier Science
• Year: 1995
• Tongue: English
• Weight: 94 KB
• Volume: 83
• Category: Article
• ISSN: 0021-9045
• DOI: 10.1006/jath.1995.1112

✦ Synopsis

Classes of function (W_{p}^{r}, r=\left(r_{1}, \ldots, r_{n}\right), 1<p<\infty), with "dominated" mixed derivative are considered. A new formula for the (K)-functional of the couple (\left(L_{p}: W_{p}^{*}\right)) is proved. The functional spaces generated by the real method of interpolation are described. ic. 1995 Academic Press. Inc.