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Rearrangements of the coefficients of a Power series

✍ Scribed by U. C. Guha


Publisher
Springer-Verlag
Year
1961
Tongue
French
Weight
117 KB
Volume
75
Category
Article
ISSN
0025-5874

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We consider the double power series with coefficients a G 0 for all j and k. Among others, we prove exact estimates of jk certain weighted L p -norms of f on the unit square, in terms of the coefficients a . Our results extend those of Askey and Boas, Hardy and Littlewood, Khan, jk Leindler, Matelj