EMBEDDINGS BETWEEN WEIGHTED TANDORI AND CESARO FUNCTION SPACES
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Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Ankara Univ, Fac Sci
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
We characterize the weights for which the two-operator inequality
(integral(x)(0) f(t)(p) upsilon(t)(p) dt) (1/p)
(q,u,(0,infinity)) <= c
(t is an element of(x,infinity))ess sup f(t)
(r,w,(0,infinity)) holds for all non-negative measurable functions on (0;1), where 0 < p < q <= infinity and 0 < r < infinity, namely, we.nd the least constants in the embeddings between weighted Tandori and Cesaro function spaces. We use the combination of duality arguments for weighted Lebesgue spaces and weighted Tandori spaces with weighted estimates for the iterated integral operators
(integral(x)(0) f(t)(p) upsilon(t)(p) dt) (1/p)
(q,u,(0,infinity)) <= c
(t is an element of(x,infinity))ess sup f(t)
(r,w,(0,infinity)) holds for all non-negative measurable functions on (0;1), where 0 < p < q <= infinity and 0 < r < infinity, namely, we.nd the least constants in the embeddings between weighted Tandori and Cesaro function spaces. We use the combination of duality arguments for weighted Lebesgue spaces and weighted Tandori spaces with weighted estimates for the iterated integral operators
Açıklama
Anahtar Kelimeler
Cesaro function spaces; Copson function spaces; Tandori function spaces; embeddings; weighted inequalities; Hardy operator; Copson operator; iterated operators
Kaynak
Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
70
Sayı
2
