Geodesic
On Ces\`aro Means of Double Trigonometric Fourier Series
Matematičeskie zametki, Tome 74 (2003) no. 4, pp. 502-507

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Zhizhiashvili studied questions associated with the approximation properties of Cesàro means of trigonometric Fourier series for functions of two variables in the spaces $H^\omega$. It is proved here that the corresponding estimate cannot be improved for $p = 1$ or $p=\infty$. 
@article{MZM_2003_74_4_a2,
     author = {U. Goginava},
     title = {On {Ces\`aro} {Means} of {Double} {Trigonometric} {Fourier} {Series}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {502--507},
     publisher = {mathdoc},
     volume = {74},
     number = {4},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2003_74_4_a2/}
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U. Goginava. On Ces\`aro Means of Double Trigonometric Fourier Series. Matematičeskie zametki, Tome 74 (2003) no. 4, pp. 502-507. http://geodesic.mathdoc.fr/item/MZM_2003_74_4_a2/