Generalized Fractional Maximal Functions In Lorentz Spaces Λ
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Tarih
2018
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Element
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper we give the complete characterization of the boundedness of generalized fractional maximal operator M-phi,Lambda(alpha)(b)f(x):=Sup(Q(sic)x) parallel to f chi Q parallel to(Lambda alpha(b))/phi(vertical bar Q vertical bar) (x is an element of R-n), between the classical Lorentz spaces Lambda(P)(v) and Lambda(q)(w), as well as between Lambda(P)(v) and weaktype Lorentz spaces Lambda(q)(,infinity)(w), and between Lambda(P,infinity)(v) and Lambda(q,infinity)(w), and between Lambda(P,infinity)(v) and Lambda(q)(w), for appropriate functions phi, where 0 < p, q,alpha < infinity, v,w, b are weights on (0, infinity) such that 0 < B(t) := integral(t)(0) b infinity, t 0, B is an element of Delta(2) and B(t)/t(r) is quasi-increasing for some 0 < r <= 1.
Açıklama
Mustafayev, Rza/0000-0002-2806-9646
Anahtar Kelimeler
Maximal functions, classical and weak-type Lorentz spaces, iterated Hardy inequalities involving suprema, weights
Kaynak
Journal Of Mathematical Inequalities
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
12
Sayı
3
