Gli spazi di Lebesgue con esponente variabile rappresentano un settore di rilievo nell’ambito della teoria degli spazi funzionali di Banach. Di notevole interesse è la ricerca di condizioni, da imporre alla funzione esponente, sufficienti ad assicurare il verificarsi di determinate affermazioni. In questa Nota ci proponiamo di mostrare il fascino della ricerca in questo settore, segnalando essenzialmente alcuni noti risultati organizzati in “categorie", ognuna delle quali caratterizzata da una comune tipologia di condizioni sulla funzione esponente. I risultati originali sono relativi alla non invarianza per riordinamento, al riordinamento dell’esponente e ad una generalizzazione di una formula nota per esponenti costanti.
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Con il contributo del Ministero per i Beni e le Attività Culturali