WEIGHTED VARIABLE EXPONENT AMALGAM SPACES W(Lp(x), Lwq)
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Tarih
2012
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Croatian Mathematical Soc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the present paper a new family of Wiener amalgam spaces W(L-p(x), L-w(q)) is defined, with local component which is a variable exponent Lebesgue space L-p(x)(R-n) and the global component is a weighted Lebesgue space L-w(q) (R-n). We proceed to show that these Wiener amalgam spaces are Banach function spaces. We also present new Holder-type inequalities and embeddings for these spaces. At the end of this paper we show that under some conditions the Hardy-Littlewood maximal function is not mapping the space W(L-p(x), L-w(q)) into itself.
Açıklama
Anahtar Kelimeler
Variable exponent Lebesgue space, Hardy-Littlewood maximal function, Wiener amalgam space
Kaynak
Glasnik Matematicki
WoS Q Değeri
Q3
Scopus Q Değeri
Q4
Cilt
47
Sayı
1
