Characterization of Globally Lipschitzian Nemytskii Operator in the Banach Space ACr-1

✍ Scribed by Anna Sieczko

• Publisher: John Wiley and Sons
• Year: 1989
• Tongue: English
• Weight: 198 KB
• Volume: 141
• Category: Article
• ISSN: 0025-584X
• DOI: 10.1002/mana.19891410102

✦ Synopsis

Let ACT-~(O, 1) be the linear space of functions v: (0,1) + R, which have absolutely continuous derivative of order (r -1) in (0, l), where 1 T < CQ. It is known, that AC'-l(O, 1) is a BAXACH space with the norm r -i 1 liTI1 := c SUP Iv(Y41 + J ltp"'(4l dz. k=O te(0.1) 0