Double sine series with nonnegative coefficients and Lipschitz classes

Vanda Fülöp. "Double sine series with nonnegative coefficients and Lipschitz classes." Colloquium Mathematicae 105.1 (2006): 25-34. <http://eudml.org/doc/283893>.

@article{VandaFülöp2006,
abstract = {Denote by $f_\{ss\}(x,y)$ the sum of a double sine series with nonnegative coefficients. We present necessary and sufficient coefficient conditions in order that $f_\{ss\}$ 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.},
author = {Vanda Fülöp},
journal = {Colloquium Mathematicae},
keywords = {double sine series; nonnegative coefficients; multivariate Lipschitz class},
language = {eng},
number = {1},
pages = {25-34},
title = {Double sine series with nonnegative coefficients and Lipschitz classes},
url = {http://eudml.org/doc/283893},
volume = {105},
year = {2006},
}

TY - JOUR
AU - Vanda Fülöp
TI - Double sine series with nonnegative coefficients and Lipschitz classes
JO - Colloquium Mathematicae
PY - 2006
VL - 105
IS - 1
SP - 25
EP - 34
AB - Denote by $f_{ss}(x,y)$ the sum of a double sine series with nonnegative coefficients. We present necessary and sufficient coefficient conditions in order that $f_{ss}$ 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.
LA - eng
KW - double sine series; nonnegative coefficients; multivariate Lipschitz class
UR - http://eudml.org/doc/283893
ER -