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Boundedness of the maximal operator in the local Morrey-Lorentz spaces     
Yazarlar (3)
Canay Aykol
Ankara Üniversitesi, Türkiye
Prof. Dr. Vagıf GULIYEV Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi
Ayhan Serbetci
Ankara Üniversitesi, Türkiye
Devamını Göster
Özet
In this paper we define a new class of functions called local Morrey-Lorentz spaces M-p,q;lambda(loc)(R-n), 0 < p,q <= infinity and 0 <= lambda <= 1. These spaces generalize Lorentz spaces such that M-p,q;0(loc) (R-n) = L-p,L-q(R-n). We show that in the case lambda < 0 or lambda > 1, the space M-p,q;lambda(loc) (R-n) is trivial, and in the limiting case lambda = 1, the space M-p,q;1(loc) (R-n) is the classical Lorentz space Lambda (infinity,t1/p - 1/q) (R-n). We show that for 0 < q <= p < infinity and 0 < lambda <= q/p, the local Morrey-Lorentz spaces M-p,q;lambda(loc) (R-n) are equal to weak Lebesgue spaces WL1/p-lambda/q (R-n). We get an embedding between local Morrey-Lorentz spaces and Lorentz-Morrey spaces. Furthermore, we obtain the boundedness of the maximal operator in the local Morrey-Lorentz spaces.
Anahtar Kelimeler
Local Morrey-Lorentz spaces | Lorentz spaces | Lorentz-Morrey spaces | Maximal operator | Morrey spaces
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale
Dergi Adı JOURNAL OF INEQUALITIES AND APPLICATIONS
Dergi ISSN 1029-242X Wos Dergi Scopus Dergi
Dergi Grubu Q1
Makale Dili İngilizce
Basım Tarihi 01-2013
Cilt No 2013
Sayı 1
Doi Numarası 10.1186/1029-242X-2013-346