id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
cana-1681	Sakshi	L^1-Convergence of Double Fourier Transform in L^p (R) Spaces, p≥1	2024	7	.pdf	application/pdf	2616	128	83	Using Minkowski’s inequality, ||(ℎ𝑛 − 𝜓𝑛) ⋆ 𝑓|| 𝑝 ≤ (1 − 𝛼𝑛) (||𝜎𝑛 ⋆ 𝑓 − 𝑓|| 𝑝 + ||𝜓𝑛 ⋆ 𝑓 − 𝑓|| 𝑝 ) For 1 ≤ 𝑝 ≤ +∞ , if ∑ 𝑛 (1 − 𝛼𝑛)𝑝 < +∞, then for every 𝑓휀𝐿𝑝(𝑅), 𝑙𝑖𝑚 𝑛→∞ (ℎ𝑛 − 𝜓𝑛) ⋆ 𝑓 → 0 a.e. Proof.	cache/cana-1681.pdf	txt/cana-1681.txt