Geodesic
Convergence and summability of Fourier series
Matematičeskie zametki, Tome 19 (1976) no. 6, pp. 887-898

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In this note we study $(C,-\alpha)$, summability, $0\le\alpha1$, of Fourier series and their conjugates in the sense of convergence with respect to the $L^p$, $1\le p\le+\infty$. 
@article{MZM_1976_19_6_a8,
     author = {L. V. Zhizhiashvili},
     title = {Convergence and summability of {Fourier} series},
     journal = {Matemati\v{c}eskie zametki},
     pages = {887--898},
     publisher = {mathdoc},
     volume = {19},
     number = {6},
     year = {1976},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1976_19_6_a8/}
}
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L. V. Zhizhiashvili. Convergence and summability of Fourier series. Matematičeskie zametki, Tome 19 (1976) no. 6, pp. 887-898. http://geodesic.mathdoc.fr/item/MZM_1976_19_6_a8/