| Yazarlar (2) |
Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi |
Sevinc Z. Khaligova
|
| Özet |
| We prove that the anisotropic fractional maximal operator M-alpha,M-sigma and the anisotropic Riesz potential operator I alpha,sigma , 0 < alpha < vertical bar sigma vertical bar are bounded from the anisotropic modified Morrey space (L) over tilde (1,b,sigma)(R-n) to the weak anisotropic modified Morrey space W (L) over tilde (q,b,sigma)(R-n) if and only if alpha/vertical bar sigma vertical bar <= 1-1-/q <= alpha/(vertical bar sigma vertical bar(1-b)) and from (L) over tilde (p,b,sigma)(R-n) to (L) over tilde (q,b,sigma)(R-n) if and only if, alpha/vertical bar sigma vertical bar <= 1/p - 1/q <= alpha/(1-b)vertical bar sigma vertical bar). In the limiting case vertical bar sigma vertical bar (1-b)/alpha <= p <= vertical bar sigma vertical bar/alpha we prove that the operator M-alpha,M-sigma is bounded from (L) over tilde (p,b,sigma)(R-n) to L-infinity(R-n) and the modified anisotropic Riesz potential operator (I) over tilde (alpha,sigma) is bounded from (L) over tilde (p,b,sigma)(R-n) to BMO sigma (R-n). |
| Anahtar Kelimeler |
| anisotropic Riesz potential | anisotropic fractional maximal function | anisotropic modified Morrey space | anisotropic BMO space |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale |
| Dergi Adı | ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA |
| Dergi ISSN | 1224-1784 |
| Dergi Grubu | Q2 |
| Makale Dili | İngilizce |
| Basım Tarihi | 01-2013 |
| Cilt No | 21 |
| Sayı | 2 |
| Sayfalar | 111 / 130 |
| Doi Numarası | 10.2478/auom-2013-0026 |
| Atıf Sayıları |
