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On the Lebesgue summability of double trigonometric series - MaRDI portal

On the Lebesgue summability of double trigonometric series (Q947596)

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scientific article; zbMATH DE number 5349116
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On the Lebesgue summability of double trigonometric series
scientific article; zbMATH DE number 5349116

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    On the Lebesgue summability of double trigonometric series (English)
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    6 October 2008
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    The authors extend the theorem on Lebesgue summability of single trigonometric series [see \textit{A. Zygmund}'s Trigonometric series: Part I (1977), Theorem 2.16, p. 322; cf. also 3rd edition, Cambridge Mathematical Library. Cambridge: Cambridge University Press. (2002; Zbl 1084.42003)] to double trigonometric series. The authors also present another proof of Theorem 2.16 mentioned above.
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    formal integration of double trigonometric series
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    symmetric derivative and its extension to functions in two variables
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    the Lebesgue method of summability
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