Abstract: | It is proved that for anyf(x, y) L(R), where R=- , ,- , ], a function (x, y), exists such that ¦ (x, y) ¦=¦f(x, y) ¦ for almost all (x, y) R. The Fourier series of the function (x, y) and all conjugate trigonometric series are A*-summable almost everywhere.Translated from Matematicheskie Zametki, Vol. 11, No. 2, pp. 145–150, February, 1972. |