Almost everywhere summability of Laguerre series. II
Tom 103 / 1992
Studia Mathematica 103 (1992), 317-327
DOI: 10.4064/sm-103-3-317-327
Streszczenie
Using methods from [9] we prove the almost everywhere convergence of the Cesàro means of Laguerre series associated with the system of Laguerre functions $L^a_n(x) = (n!/Γ(n+a+1))^{1/2} e^{-x/2} x^{a/2} L_n^a(x)$, n = 0,1,2,..., a ≥ 0. The novel ingredient we add to our previous technique is the $A_p$ weights theory. We also take the opportunity to comment and slightly improve on our results from [9].
