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Superposition operators and functions of bounded p-variation.

Gérard BourdaudMassimo Lanza de CristoforisWinfried Sickel — 2006

Revista Matemática Iberoamericana

We characterize the set of all functions f of R to itself such that the associated superposition operator T: g → f º g maps the class BV (R) into itself. Here BV (R), 1 ≤ p < ∞, denotes the set of primitives of functions of bounded p-variation, endowed with a suitable norm. It turns out that such an operator is always bounded and sublinear. Also, consequences for the boundedness of superposition operators defined on Besov spaces B are discussed....

Studi sulle dispersioni di metalli in sali fusi

Roberto PiontelliUmberto DucatiGiuliana Lecis CocciaClaudio CitriniMassimo Lanza — 1971

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

The new method for the dispersion of metals in molten salts has been successfully extended to fused metals (Ga and especially Al). Baths of chlorides (for Ga, Al) and fluorides (for Al) have been investigated in the range: 200° ÷ 1090° C. The dispersions are coarser than for solid metals and the settling rates higher. The particles are again positively charged and can be cataphoretically plated. The changes in the voltages of tensiometric cells, as a consequence of the formation of the dispersions,...

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