id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ma-301	Chana, Ahmed; Akhlidj, Abdellatif	Uncertainty Principles and Extremal Functions for Bessel Multiplier Operators in Quantum Calculus	2025	16	.pdf	application/pdf	5498	358	73	Let f ∈ L2α(R+q ) and σ ∈ L2α(R+q ) ∩ L∞α (R+q ) satisfy the admissibility condition (3.7) and 0 < γ < δ <∞. Then the function fγ,δ(x) [12] (i) Let E be a measurable subset of R+q , we say that the function f ∈ L2α(R+q ) is ε-concentrated on E if ‖f − 1Ef ‖2,q,α ≤ ε‖f ‖2,q,α, (3.11) where 1E is the indicator function of the set E. (ii) Let F be a measurable subset of R+q × R+q , we say that the function Tσ,β(f ) is ρ-concentrated on F	cache/ma-301.pdf	txt/ma-301.txt