On certain properties of Hilbert transform, conjugate functions and Bochner-Riesz spherical means (Q1902736)

In the present communication, we cite certain theorems concerning existence of the Hilbert transforms and conjugated functions, and of convergence in measure of Bochner-Riesz means for the Fourier series and for Cesàro and Abel means of trigonometrical series of functions of several variables. About these questions see \textit{L. V. Zhizhiashvili} [Some questions of multidimensional harmonic analysis (1983; Zbl 0577.42014)]. The obtained results are formulated in terms of the Baire categories.