Yazarlar |
Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi |
S. Z. Khaligova
|
Özet |
We study some embeddings into the anisotropic Morrey space L-p,L-b,L-sigma(R-n) and the modified anisotropic Morrey spaces (L) over tilde (p,b,sigma)(R-n). As applications we get the boundedness of the anisotropic fractional maximal operator M-alpha,M-sigma, 0 <= alpha < vertical bar sigma vertical bar from L-p,L-b,L-sigma(R-n) to L-infinity(R-n) for p = vertical bar sigma vertical bar(1-b)/alpha and from <(L)over tilde>(p,b,sigma)(R-n) to L-infinity(R-n) for vertical bar sigma vertical bar(1-b)/alpha <= p <= vertical bar sigma vertical bar/alpha. In this limiting case we prove that the modified anisotropic Riesz potential operator (I) over tilde (alpha) is bounded from (L) over tilde (p,b,sigma)(R-n) to BAO(sigma)(R-n). |
Anahtar Kelimeler |
anisotropic fractional maximal function | anisotropic Riesz potential | modified anisotropic 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 AL I CUZA DIN IASI-SERIE NOUA-MATEMATICA |
Dergi ISSN | 1221-8421 |
Dergi Grubu | Q4 |
Makale Dili | İngilizce |
Basım Tarihi | 01-2014 |
Cilt No | 60 |
Sayı | 1 |
Sayfalar | 245 / 257 |