For [Equation presented here] the linearized maximal operator of the rectangular partial sums of the kind (M;M2) for double Fourier series, we prove a weak-type (Lr;Lr-ϵ) estimate for 1 < r ≤ 2 and any ϵ > 0 in case M2(x; y) = Ax+By with x; y ∈ [0; 2π]; uniformly with respect to A;B ≥ 0.
Prestini, E. (2017). On the convergence of parabolically scaled two-dimensional Fourier series in the linear phase setting. STUDIA MATHEMATICA, 237(2), 101-117 [10.4064/sm8182-10-2016].
On the convergence of parabolically scaled two-dimensional Fourier series in the linear phase setting
Prestini E.
2017-01-01
Abstract
For [Equation presented here] the linearized maximal operator of the rectangular partial sums of the kind (M;M2) for double Fourier series, we prove a weak-type (Lr;Lr-ϵ) estimate for 1 < r ≤ 2 and any ϵ > 0 in case M2(x; y) = Ax+By with x; y ∈ [0; 2π]; uniformly with respect to A;B ≥ 0.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
