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Two-weight norm inequalities for some anisotropic sublinear operators   
Yazarlar
Yusuf Zeren
Harran Üniversitesi, Turkey
Prof. Dr. Vagıf GULIYEV Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi, Türkiye
Özet
In this paper, we establish several general theorems for the boundedness of the anisotropic sublinear operators on a weighted Lebesgue space. Conditions of these theorems are satisfied by many important operators in analysis. We also give some applications the boundedness of the parabolic singular integral operators, and the maximal operators associated with them from one weighted Lebesgue space to another one. Using this results, we prove weighted embedding theorems for the anisotropic Sobolev spaces W ω0,ω1,...,ωnl1,...,ln (ℝn). © TÜBİTAK.
Anahtar Kelimeler
Anisotropic singular integral | Sublinear operators | Two-weighted inequality | Weighted Lebesgue space
Makale Türü Özgün Makale
Makale Alt Türü SCOPUS dergilerinde yayımlanan tam makale
Dergi Adı Turkish Journal of Mathematics
Dergi ISSN 1300-0098
Makale Dili İngilizce
Basım Tarihi 09-2006
Cilt No 30
Sayı 3
Sayfalar 329 / 350
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
SCOPUS 2

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