Two-weight norm inequalities for some anisotropic sublinear operators
Yazarlar (2)
Harran Üniversitesi, Türkiye
Prof. Dr. Vagıf GULIYEV
Azerbaijan National Academy Of Sciences, Azerbaycan
| Makale Türü | Özgün Makale (SCOPUS dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Turkish Journal of Mathematics | ||
| Dergi ISSN | 1300-0098 Wos Dergi Scopus Dergi | ||
| Makale Dili | İngilizce | Basım Tarihi | 09-2006 |
| Cilt / Sayı / Sayfa | 30 / 3 / 329–350 | DOI | – |
| 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 |
