New characterization of weighted inequalities involving superposition of Hardy integral operators
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Tarih
2024
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Wiley-V C H Verlag Gmbh
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Let 1 <= p < infinity and 0 < q, r < infinity. We characterize the validity of the inequality for the composition of the Hardy operator, (integral(b)(a) (integral(x )(a)(integral(t )(a)f(s)ds)(q )u(t)dt)(r/q )w(x)dx)(1/r)<= C(integral(b )(a)f(x)(p)v(x)dx)(1/p) for all non-negative measurable functions f on (a,b), -infinity <= a < b <=infinity. We construct a more straightforward discretization method than those previously presented in the literature, and we provide some new scales of weight characterizations of this inequality in both discrete and continuous forms and we obtain previous characterizations as the special case of the parameter.
Açıklama
Anahtar Kelimeler
Copson operator; Hardy operator; inequalities for monotone functions; iterated operators; weighted Hardy inequality
Kaynak
Mathematische Nachrichten
WoS Q Değeri
N/A
Scopus Q Değeri
Q2
Cilt
297
Sayı
9
