id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ma-234	Diarra, Nouffou	Hardy-Littlewood-Sobolev Theorem for Bourgain-Morrey Spaces and Approximation	2024	21	.pdf	application/pdf	8060	493	85	Actually we have{ Lα ⊂Mα q,p ⊂Mα q,p1 ⊂Mα q,∞ =Mα q , 1 ≤ q < α < p ≤ p1 ≤ ∞. Mα q,p ⊂Mα q1,p , 1 ≤ q1 ≤ q ≤ α ≤ p ≤ ∞. (1) https://doi.org/10.28924/ada/ma.4.16 Eur. J. Math. We recall that, for 1 ≤ q, p, α ≤ ∞, the space F(q, p, α) arises naturally in the search of acharacterization of the set B(γ, p) in [7], where it is established that B(γ, p) ⊂ F(1, p, α)c ⊂ F(1, p, α) ⊂ WB(γ, p) , 0 < γ < 1 α ≤ 1 and 1 p = 1 α − γ, (8) with F(q, p, α)c = { f ∈ F(q, p, α) : lim y→0 ‖f − f (· − y)‖F(q,p,α)	cache/ma-234.pdf	txt/ma-234.txt