Glasnik matematički, Vol. 47 No. 1, 2012.
Izvorni znanstveni članak
https://doi.org/10.3336/gm.47.1.14
Weighted variable exponent amalgam spaces W(L^p(x),L_w^q)
İsmail Aydin
; Department of Mathematics, Faculty of Arts and Sciences, Sinop University, 57000, Sinop, Turkey
A. Turan Gürkanli
; Department of Mathematics, Faculty of Arts and Sciences, Ondokuz Mayıs University, 55139, Kurupelit, Samsun, Turkey
Sažetak
In the present paper a new family of Wiener amalgam spaces W(Lp(x),Lwq) is defined, with local component which is a variable exponent Lebesgue space Lp(x)(Rn) and the global component is a weighted Lebesgue space Lwq(Rn). We proceed to show that these Wiener amalgam spaces are Banach function spaces. We also present new Hölder-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(Lp(x),Lwq) into itself.
Ključne riječi
Variable exponent Lebesgue space; Hardy-Littlewood maximal function; Wiener amalgam space
Hrčak ID:
82580
URI
Datum izdavanja:
3.6.2012.
Posjeta: 1.033 *