Geodesic
Weakened continuity in $\Lambda$-variation and localization of double Ces\'aro means
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2013), pp. 8-14

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We study the localization of Cesáro means of negative order with respect to cross neighborhoods for a double Fourier series. We prove a sufficient condition in terms of $\Lambda$-variation of the function which is weaker than the sufficient condition for classic localization obtained recently. 
@article{VMUMM_2013_4_a1,
     author = {A. N. Bakhvalov},
     title = {Weakened continuity in $\Lambda$-variation and localization of double {Ces\'aro} means},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {8--14},
     publisher = {mathdoc},
     number = {4},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2013_4_a1/}
}
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A. N. Bakhvalov. Weakened continuity in $\Lambda$-variation and localization of double Ces\'aro means. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2013), pp. 8-14. http://geodesic.mathdoc.fr/item/VMUMM_2013_4_a1/