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- W2152553359 abstract "We study the double trigonometric series whose coefficients cjk are such that E? -OO SE -oo Icjk I < 00. Then its rectangular partial sums converge uniformly to some f E C(T2). We give sufficient conditions for the Lebesgue integrability of {f(x, y) f(x, O) f(O, y) + f(O, O) }(x, y), where 0(x, y) = 1/xy, 1/x, or 1/y. For certain cases, they are also necessary conditions. Our results extend those of Boas and Moricz from the one-dimensional to the two-dimensional series." @default.
- W2152553359 created "2016-06-24" @default.
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- W2152553359 date "1999-01-29" @default.
- W2152553359 modified "2023-09-24" @default.
- W2152553359 title "Weighted integrability of double trigonometric series" @default.
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- W2152553359 doi "https://doi.org/10.1090/s0002-9939-99-04661-4" @default.
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