On Lebesgue summability for double series
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- by M. J. Kohn PDF
- Proc. Amer. Math. Soc. 59 (1976), 283-286 Request permission
Abstract:
In [2] a two dimensional analogue of Lebesgue’s theorem on differentiation of formally integrated trigonometric series was established. Here we show that a stronger analogue holds.References
- M. J. Kohn, Spherical convergence and integrability of multiple trigonometric series on hypersurfaces, Studia Math. 44 (1972), 345–354. MR 344796, DOI 10.4064/sm-44-4-345-354
- M. J. Kohn, Lebesgue summability of double trigonometric series, Trans. Amer. Math. Soc. 225 (1977), 199–209. MR 425505, DOI 10.1090/S0002-9947-1977-0425505-0
- A. Zygmund, Trigonometric series: Vols. I, II, Cambridge University Press, London-New York, 1968. Second edition, reprinted with corrections and some additions. MR 0236587
Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 59 (1976), 283-286
- MSC: Primary 42A92
- DOI: https://doi.org/10.1090/S0002-9939-1976-0415197-3
- MathSciNet review: 0415197