WEAK BEHAVIOUR OF FOURIER-NEUMANN SERIES Research supported by grants of the DGI and UR.

Abstract

Abstract. Let J µ denote the Bessel function of order µ. The functionsIn this paper we prove that the Fourier series associated to this system is of restricted weak type for the endpoints of the interval of mean convergence, while it is not of weak type if α ≥ 0.2000 Mathematics Subject Classification. 42C10, 44A05.