Zeitschrift für Analysis und ihre Anwendungen
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Published online: 1991-03-31
Double Walsh Series with Coefficients of Bounded VariationFerenc Móricz (1) University of Szeged, Hungary
Convergence properties of double Walsh series are studied whose coefficients form a null sequence of bounded variation. These series converge regularly at all points of (0, 1) x (0, 1) and converge in the pseudometric of $L^r$ for all $r \in (0, 1)$. Sufficient conditions for convergence are also proved which involve the second-order differences of the coefficients.
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Móricz Ferenc: Double Walsh Series with Coefficients of Bounded Variation. Z. Anal. Anwend. 10 (1991), 3-10. doi: 10.4171/ZAA/426