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Uniformly Gâteaux smooth approximations on

✍ Scribed by Petr Hájek; Michal Johanis


Book ID
108178220
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
154 KB
Volume
350
Category
Article
ISSN
0022-247X

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Gâteaux derivatives and their applicatio
✍ Maciej Ciesielski; Anna Kamińska; Ryszard Płuciennik 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 256 KB

## Abstract We establish the formulas of the left‐ and right‐hand Gâteaux derivatives in the Lorentz spaces Γ~__p,w__~ = {__f__: ∫~0~^__α__^ (__f__ \*\*)^__p__^ __w__ < ∞}, where 1 ≤ __p__ < ∞, __w__ is a nonnegative locally integrable weight function and __f__ \*\* is a maximal function of the de