Generalized Local Morrey Spaces and Fractional Integral Operators with Rough Kernel
   
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Prof. Dr. Vagıf GULIYEV Kırşehir Ahi Evran Üniversitesi, Türkiye
Makale Türü Açık Erişim Özgün Makale (SCOPUS dergilerinde yayınlanan tam makale)
Dergi Adı Journal of Mathematical Sciences United States
Dergi ISSN 1072-3374 Scopus Dergi
Makale Dili İngilizce Basım Tarihi 08-2013
Cilt / Sayı / Sayfa 193 / 2 / 211–227 DOI 10.1007/s10958-013-1448-9
Makale Linki https://link.springer.com/content/pdf/10.1007/s10958-013-1448-9.pdf
Özet
Let M Ω,α and I Ω,α be the fractional maximal and integral operators with rough kernels, where 0 < α < n. We study the continuity properties of M Ω,α and I Ω,α on the generalized local Morrey spaces LMp,φ{x0}. We prove that the commutators of these operators with local Campanato functions are bounded. Bibliography: 34 titles. © 2013 Springer Science+Business Media New York.
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