Móricz Ferenc honlapja

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Cím:On the maximum of the rectangular partial sums of double trigonometric series with nonnegative coefficients.
Szerző:M\'oricz, F.
Forrás:Anal. Math. 15, No.4, 283-290 (1990).
Nyelv:English
Absztrakt:The author proves a necessary and sufficient condition for integrability of the maximum of the partial sums of the double cosine and sine series with monotone coefficients as well as a sufficient one for pointwise and normwise convergence of these series. The results are two-dimensional analogues of a result of {\it S. B. Stechkin} [Usp. Mat. Nauk 18, No. 1(109), 173-180 (1963; Zbl 0113.275)], but which have been obtained in a different way.} \RV{W.{\L}enski (Pozna\'n) 
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