SOME EMBEDDINGS INTO THE ANISOTROPIC MORREY AND MODIFIED ANISOTROPIC MORREY SPACES. SOME APPLICATIONS
Yazarlar (2)
S. Z. Khaligova
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | ANALELE STIINTIFICE ALE UNIVERSITATII AL I CUZA DIN IASI-SERIE NOUA-MATEMATICA (Q4) | ||
| Dergi ISSN | 1221-8421 Wos Dergi Scopus Dergi | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2014 |
| Cilt / Sayı / Sayfa | 60 / 1 / 245–257 | DOI | – |
| 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 |
