Anatriello and Fiorenza (J Math Anal Appl 422:783–797, 2015) introduced the fully measurable grand Lebesgue spaces on the interval (0,1)⊂ℝ which contain some known Banach spaces of functions, among which there are the classical and the grand Lebesgue spaces, and the EXPα spaces (α>0). In this paper we introduce the weighted fully measurable grand Lebesgue spaces and we prove the boundedness of the Hardy–Littlewood maximal function.
Weighted fully measurable grand Lebesgue spaces and the maximal theorem / Anatriello, Giuseppina; Formica, Maria Rosaria. - In: RICERCHE DI MATEMATICA. - ISSN 0035-5038. - 65:1(2016), pp. 1-13. [10.1007/s11587-016-0263-2]
Weighted fully measurable grand Lebesgue spaces and the maximal theorem
ANATRIELLO, GIUSEPPINA;
2016
Abstract
Anatriello and Fiorenza (J Math Anal Appl 422:783–797, 2015) introduced the fully measurable grand Lebesgue spaces on the interval (0,1)⊂ℝ which contain some known Banach spaces of functions, among which there are the classical and the grand Lebesgue spaces, and the EXPα spaces (α>0). In this paper we introduce the weighted fully measurable grand Lebesgue spaces and we prove the boundedness of the Hardy–Littlewood maximal function.File | Dimensione | Formato | |
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Ricerche di Matematica Volume 65 issue 1 2016 [doi 10.1007%2Fs11587-016-0263-2] .pdf
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