PARABOLIC FRACTIONAL MAXIMAL AND INTEGRAL OPERATORS WITH ROUGH KERNELS IN PARABOLIC GENERALIZED MORREY SPACES
Yazarlar (2)
Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi, Türkiye
Baku State University, Azerbaycan
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| Dergi Adı | Journal of Mathematical Inequalities (Q1) | ||
| Dergi ISSN | 1846-579X Wos Dergi Scopus Dergi | ||
| Makale Dili | İngilizce | Basım Tarihi | 03-2015 |
| Cilt / Sayı / Sayfa | 9 / 1 / 257–276 | DOI | 10.7153/jmi-09-23 |
| Özet |
| Let P be a real nxn matrix, whose all the eigenvalues have positive real part, A(t) = t(P), t > 0, gamma = trP is the homogeneous dimension on R-n and Omega is an A(t)-homogeneous of degree zero function, integrable to a power s > 1 on the unit sphere generated by the corresponding parabolic metric. We study the parabolic fractional maximal and integral operators M-Omega,alpha(P) and I-Omega,alpha(P), 0 < alpha < gamma with rough kernels in the parabolic generalized Morrey space M-p,M-phi,M-P(R-n). We find conditions on the pair (phi(1), phi(2)) for the boundedness of the operators M-Omega,alpha(P) and I-Omega,alpha(P) from the space M-p,M-phi 1,M-P(R-n) to another one M-q,M-phi 2,M-P(R-n), 1 < p < q < infinity, 1/p-1/q = alpha/gamma, and from the space M-1,M-phi 1,M-P(R-n) to the weak space W M-q,M-phi 2,M-P(R-n), 1 <= q < infinity, 1 - 1/q = alpha/gamma. We also find conditions on phi for the validity of the Adams type theorems M-Omega,alpha(P), I-Omega,alpha(P) : M-p,M-phi 1/p,M-P(R-n) -> M-q,M-phi 1/q,M-P(R-n), 1 < p < q < infinity. |
| Anahtar Kelimeler |
| Parabolic fractional integral | Parabolic fractional maximal function | Parabolic generalized morrey space |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| WoS | 2 |
| SCOPUS | 4 |