id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ma-367	Nemri, Akram	On a Family of q-Weighted Bergman Spaces and Applications	2025	14	.pdf	application/pdf	5003	331	83	[∇α,q, Lα,q]q := ∇α,qLα,q − Lα,q∇α,q = q−α−1Λq ( [α+ 1]qI + (1 + q−1)q−α−1Nq ) , where I is the identity operator and Λq is the q-shift operator given by Λqf (z) = f (qz). = Aα,q ⊕A⊥α,q then for any f ∈ L2α,q(D), we have f = (f − f ⊥) + f ⊥ where f − f ⊥ ∈ Aα,q and f ⊥ ∈ A⊥α,q .	cache/ma-367.pdf	txt/ma-367.txt