Double sine series with nonnegative coefficients and Lipschitz classes
Vanda Fülöp
Colloquium Mathematicae, Tome 106 (2006), p. 25-34 / Harvested from The Polish Digital Mathematics Library
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Denote by fss(x,y) the sum of a double sine series with nonnegative coefficients. We present necessary and sufficient coefficient conditions in order that fss belongs to the two-dimensional multiplicative Lipschitz class Lip(α,β) for some 0 < α ≤ 1 and 0 < β ≤ 1. Our theorems are extensions of the corresponding theorems by Boas for single sine series.

Publié le : 2006-01-01
EUDML-ID : urn:eudml:doc:283893 
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     title = {Double sine series with nonnegative coefficients and Lipschitz classes},
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     year = {2006},
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Vanda Fülöp. Double sine series with nonnegative coefficients and Lipschitz classes. Colloquium Mathematicae, Tome 106 (2006) pp. 25-34. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm105-1-3/