PARABOLIC FRACTIONAL INTEGRAL OPERATORS WITH ROUGH KERNEL IN PARABOLIC GENERALIZED MORREY SPACES
Yazarlar (2)
Prof. Dr. Vagıf GULIYEV
Kirsehir Ahi Evran University, Türkiye
Ministry of Education of Azerbaijan Republic, Azerbaycan
| Makale Türü | Özgün Makale (ESCI dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS | ||
| Dergi ISSN | 2409-4986 Wos Dergi Scopus Dergi | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2013 |
| Cilt / Sayı / Sayfa | 38 / 46 / 47–56 | DOI | – |
| Özet |
| Let Omega is an element of L-s(Sn-1) with 1 < s < infinity be a At homogeneous of degree zero, I-Omega,alpha(P) be the parabolic fractional integral operators with rough kernel, where 0 < alpha < gamma and gamma = trP is the homogeneous dimension on R-n. We study the continuity properties of I-Omega,alpha(P) on the parabolic generalized Morrey spaces M-p,M-phi,M-P We find the conditions on the pair (phi(1), phi(2)) which ensures the boundedness of the operator I-Omega,alpha(P) from one parabolic generalized Morrey space M-p,M-phi 1,M-P (R-n) to another M-p,M-phi 2,M-P (R-n), 1 < p < q < infinity, 1/p - 1/q = alpha/gamma, and from the space M-p,M-phi 1,M-P (R-n) to the weak space W M-p,M-phi 2,M-P (R-n), 1 <= q < infinity, 1 - 1/q = alpha/gamma. |
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