Geodesic
Double sine series with nonnegative coefficients and Lipschitz classes
Vanda Fülöp1
1 Bolyai Institute University of Szeged Aradi vértanúk tere 1 6720 Szeged, Hungary
Colloquium Mathematicum, Tome 105 (2006) no. 1, pp. 25-34.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Denote by $f_{\rm ss}(x,y)$ the sum of a double sine series with nonnegative coefficients. We present necessary and sufficient coefficient conditions in order that $f_{\rm ss}$ belongs to the two-dimensional multiplicative Lipschitz class ${\rm Lip}(\alpha ,\beta )$ for some $0\alpha \le 1$ and $0\beta \le 1.$ Our theorems are extensions of the corresponding theorems by Boas for single sine series.
DOI : 10.4064/cm105-1-3
Keywords: denote sum double sine series nonnegative coefficients present necessary sufficient coefficient conditions order belongs two dimensional multiplicative lipschitz class lip alpha beta alpha beta theorems extensions corresponding theorems boas single sine series

Vanda Fülöp 1

1 Bolyai Institute University of Szeged Aradi vértanúk tere 1 6720 Szeged, Hungary 
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Vanda Fülöp. Double sine series with nonnegative coefficients
  and Lipschitz classes. Colloquium Mathematicum, Tome 105 (2006) no. 1, pp. 25-34. doi : 10.4064/cm105-1-3. http://geodesic.mathdoc.fr/articles/10.4064/cm105-1-3/

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