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Convergence presque sûre de moyennes de sommes de Riemann

100%

Ruch J.-J.

Acta Arithmetica

1998-1999

tom 87

nr 1

1-12

Almost everywhere convergence of Laguerre series

80%

Chen C.-P., Lin C.-C.

Studia Mathematica

1994

tom 109

nr 3

291-301

Let $a ∈ ℤ^+$ and $f ∈ L^p (ℝ^+), 1 ≤ p ≤ ∞ $. Denote by $c_j$ the inner product of f and the Laguerre function $ℒ^a_j$. We prove that if ${c_j}$ satisfies $lim_{λ↓1} \overline lim_{n→∞} ∑_{n

Almost everywhere summability of Laguerre series. II

80%

Stempak K.

Studia Mathematica

1992

tom 103

nr 3

317-327

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].

Ograniczanie wyników

2 Studia Mathematica

1 Acta Arithmetica

1 Chen C.-P.

1 Lin C.-C.

1 Ruch J.-J.

1 Stempak K.

1 1998

1 1994

1 1992

Wyniki wyszukiwania

Convergence presque sûre de moyennes de sommes de Riemann

Almost everywhere convergence of Laguerre series

Almost everywhere summability of Laguerre series. II