This article is cited in 23 papers

A generalization of a theorem of Marcinkiewicz

L. V. Zhizhiashvili


Abstract: It is proved that a double Fourier series is $(C,\alpha)$-summable with $\alpha>0$ almost everywhere.

UDC: 517.5

MSC: 42B05, 42B08, 40G05, 26B25

Received: 20.11.1967

 English version: Mathematics of the USSR-Izvestiya, 1968, 2:5, 1065–1075

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