Differentiability properties of an abstract autonomous composition operator

Journal of the London Mathematical Society

Volumn 61, Issue 3, 2000, Pages 923-936

  Lanza De Cristoforis, Massimo ^a  

^a UNIVERSITY OF PADOVA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034195657     PISSN: 00246107     EISSN: None     Source Type: Journal    
DOI: 10.1112/S0024610700008802     Document Type: Article

References (8)

1. J. APPELL and P. P. ZABREJKO, Nonlinear superposition operators, Cambridge Tracts in Mathematics 95 (Cambridge University Press, 1990).
2. H. CARTAN, Cours de calcul différentiel (Hermann, Paris, 1967).
3. A. KUFNER, O. JOHN and S. FUČIK, Function spaces (Noordhoff. 1977).
4. M. LANZA DE CRISTOFORIS, 'Properties and pathologies of the composition and inversion operator in Schauder spaces', Rend. Accad. Naz. Sci. XL 15 (1991) 93-109.
5. M. LANZA DE CRISTOFORIS, 'Higher order differentiability properties of the composition and of the inversion operator', Indag. Math. (N.S.) 5 (1994) 457-482.
6. M. LANZA DE CRISTOFORIS, 'Differentiability properties of the autonomous composition operator in Sobolev spaces', Z. Anal. Anwendungen 16 (1997) 631-651.
7. J. MIKUSIŃSKI, The Bochner integral (Birkhäuser, 1978).
8. T. RUNST and W. SICKEL. Sobolev spaces of fractional order, Nemytskij operators and nonlinear partial differential equations, de Gruyter Series in Nonlinear Analysis and Applications (de Gruyter, 1996).