Embeddings Between Weighted Copson And Cesaro Function Spaces
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Tarih
2017
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Heidelberg
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, characterizations of the embeddings between weighted Copson function spaces Cop(p1,q1)(u(1),v(1)) and weighted Cesaro function spaces Ces(p2,q2) (u(2) , v(2)) are given. In particular, two-sided estimates of the optimal constant c in the inequality (integral(infinity)(0) (integral(t)(0) f(tau)(p2)v2(tau)d tau)(q2/p2) u2(t)dt)(1/q2)& para;& para;<= c(integral(infinity)(0) (integral(t)infinity f(tau)(p1)v1(tau)d tau)(q1/p1) u1(t)dt)(1/q1), where p(1), p(2), q(1), q(2) is an element of (0,infinity), p(2) <= q(2) and u(1), u(2), v(1), v(2) are weights on (0,infinity) are obtained. The most innovative part consists of the fact that possibly different parameters p1 and p2 and possibly different inner weights v(1) and v(2) are allowed. The proof is based on the combination of duality techniques with estimates of optimal constants of the embeddings between weighted Cesaro and Copson spaces and weighted Lebesgue spaces, which reduce the problem to the solutions of iterated Hardy-type inequalities.
Açıklama
Gogatishvili, Amiran/0000-0003-3459-0355; Yildiz, Tugce Unver/0000-0003-0414-8400; Gogatishvili, Amiran/0000-0003-3459-0355; Mustafayev, Rza/0000-0002-2806-9646
Anahtar Kelimeler
Cesaro and Copson function spaces, embedding, iterated Hardy inequalities
Kaynak
Czechoslovak Mathematical Journal
WoS Q Değeri
Q4
Scopus Q Değeri
Q3
Cilt
67
Sayı
4
Künye
closedAccess
