We build a new class of Banach function spaces. Such class contains some known Banach spaces of functions, among which are the classical and the small Lebesgue spaces, and the Orlicz space L(logL)α, α >0. we prove a Hölder-type inequality. Fo r suitable choices,it reduces to the classical Hölder’s inequality for the spaces EXP1/αand L(logL)α, α >0.
Fully measurable small Lebesgue spaces / Anatriello, Giuseppina; Formica, Maria Rosaria; Giova, Raffaella. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - 447:1(2017), pp. 550-563. [10.1016/j.jmaa.2016.10.034]
Fully measurable small Lebesgue spaces
ANATRIELLO, GIUSEPPINA;
2017
Abstract
We build a new class of Banach function spaces. Such class contains some known Banach spaces of functions, among which are the classical and the small Lebesgue spaces, and the Orlicz space L(logL)α, α >0. we prove a Hölder-type inequality. Fo r suitable choices,it reduces to the classical Hölder’s inequality for the spaces EXP1/αand L(logL)α, α >0.File in questo prodotto:
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