Continuity and Fréchet-differentiability of Nemytskij operators in Hölder spaces
✍ Scribed by Manfred Goebel
- Publisher
- Springer Vienna
- Year
- 1992
- Tongue
- English
- Weight
- 534 KB
- Volume
- 113
- Category
- Article
- ISSN
- 0026-9255
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📜 SIMILAR VOLUMES
## Abstract This paper is concerned with continuity and differentiability of NEMYTSKIJ operators acting between spaces of summable abstract functions. In a first part, necessary and sufficient conditions for continuity are collected. Then main emphasis is given to sufficient conditions for differen
## Abstract We show that singular integral operators with piecewise continuous coefficients may gain massive spectra when considered in weighted spaces of continuous functions with a prescribed continuity modulus (generalized Hölder spaces __H^ω^__ (Γ, __ρ__ )), a fact known for example for Lebesgu
In this note we make some observations relating two papers recently published in Nonlinear Analysis Theory, Methods & Applications.