Real Interpolation with Constraints

✍ Scribed by J. Lofstrom

• Book ID: 102968371
• Publisher: Elsevier Science
• Year: 1995
• Tongue: English
• Weight: 647 KB
• Volume: 82
• Category: Article
• ISSN: 0021-9045
• DOI: 10.1006/jath.1995.1066

✦ Synopsis

Given Banach spaces (X), a subspace (Y), and a finite set (\mathscr{G}) of bounded linear functionals on (Y), let (Y), denote all elements of (Y) which are anihilated by the functionals in (\mathscr{G}). We investigate the relation between the real interpolation spaces ((X, Y){\theta, \rho}) and (\left(X, Y{g}\right)_{\theta, \rho}). Applications are given to Sobolev spaces, best approximation with constraints, and weighted Lebesgue spaces. 1995 Academic Press. Inc.