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Operatori frazionari in spazi di Hölder generalizzati
Paperback
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ISBN10: 6630430816
ISBN13: 9786630430813
Publisher: Edizioni Sapienza
Published: Aug 24 2026
Pages: 140
Weight: 0.43
Height: 0.33 Width: 6.00 Depth: 9.00
Language: Italian
ISBN13: 9786630430813
Publisher: Edizioni Sapienza
Published: Aug 24 2026
Pages: 140
Weight: 0.43
Height: 0.33 Width: 6.00 Depth: 9.00
Language: Italian
La monografia è dedicata allo studio delle proprietà di mappatura degli integrali frazionari misti di Riemann-Liouville e degli operatori integrali di tipo convoluzione di Volterra negli spazi di Hölder generalizzati di funzioni di più variabili. Vengono studiate le questioni di limitatezza, continuità e isomorfismo di questi operatori negli spazi di Hölder classici, pesati e generalizzati definiti da moduli misti di continuità .Vengono fornite informazioni fondamentali sugli spazi di Hölder, sugli operatori integrali e differenziali frazionari, nonché una panoramica dei risultati moderni dell'analisi frazionaria. Si ottengono condizioni di limitatezza e teoremi sulle proprietà di mappatura degli integrali frazionari misti di Riemann-Liouville negli spazi di Hölder di funzioni di più variabili.Per gli operatori integrali di tipo convoluzione di Volterra, si stabiliscono stime dei moduli misti di continuità delle immagini delle funzioni, si dimostrano teoremi di tipo Zygmund e si ottengono risultati che caratterizzano la variazione delle proprietà di levigatezza delle funzioni sotto l'azione degli operatori. I risultati ottenuti possono essere utilizzati nello studio di equazioni integrali e differenziali frazionarie, nonché in problemi di analisi funzionale e fisica matematica.
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