Embedding Relations Between Weighted Complementary Local Morrey-Type Spaces And Weighted Local Morrey-Type Spaces
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Tarih
2017
Yazarlar
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Yayıncı
L N Gumilyov Eurasian Natl Univ
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper embedding relations between weighted complementary local Morreytype spaces (LMp theta,omega)-L-c(R-n, v) and weighted local Morrey-type spaces L LMp theta,omega(R-n, v) are characterized. In particular, two-sided estimates of the optimal constant c in the inequality (integral(infinity)(0) (integral(B(0,t)) f (x)(p2) v(2)(x)dx)(q2/p2) u(2)(t) dt)(1/q2) <= c (integral(infinity)(0)(integral(cB(0,t)) f (x)(p1) v(1)(x) dx)(q1/p1) u(1)(t) dt)(1/q1), f >= 0 are obtained, where p(1), p(2), q(1), q(2) is an element of (0, infinity), p(2) <= q(2) and u(1), u(2) and v(1), v(2) are weights on (0,infinity) and R-n, respectively. The proof is based on the combination of the duality techniques with estimates of optimal constants of the embedding relations between weighted local Morrey-type and complementary local Morrey-type spaces and weighted Lebesgue spaces, which allows to reduce the problem to using of the known Hardy-type inequalities.
Açıklama
Gogatishvili, Amiran/0000-0003-3459-0355; Yildiz, Tugce Unver/0000-0003-0414-8400; Unver Yildiz, Tugce/0000-0003-0414-8400; Gogatishvili, Amiran/0000-0003-3459-0355; Mustafayev, Rza/0000-0002-2806-9646
Anahtar Kelimeler
local Morrey-type spaces, embeddings, iterated Hardy inequalities
Kaynak
Eurasian Mathematical Journal
WoS Q Değeri
N/A
Scopus Q Değeri
Q2
Cilt
8
Sayı
1
Künye
closedAccess
