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SOME EMBEDDINGS INTO THE ANISOTROPIC MORREY AND MODIFIED ANISOTROPIC MORREY SPACES. SOME APPLICATIONS  
Yazarlar
Prof. Dr. Vagıf GULIYEV 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
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