Geodesic
Weighted Integrability of Multiple Multiplicative Fourier Transforms
Matematičeskie zametki, Tome 111 (2022) no. 3, pp. 365-374

Voir la notice de l'article provenant de la source Math-Net.Ru

Sufficient conditions for the weighted integrability of multiple multiplicative Fourier transforms of Bernstein–Szasz type involving integral moduli of continuity and of Zygmund type with an additional boundedness condition for $s$ fluctuations are given in the paper. The sharpness of Bernstein–Szasz type tests is proved under certain restrictions.
Mots-clés : multiplicative Fourier transform
Keywords: weighted integrability, function with bounded $s$-fluctuation, Lipschitz classes. 
@article{MZM_2022_111_3_a3,
     author = {S. S. Volosivets and B. I. Golubov},
     title = {Weighted {Integrability} of {Multiple} {Multiplicative} {Fourier} {Transforms}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {365--374},
     publisher = {mathdoc},
     volume = {111},
     number = {3},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2022_111_3_a3/}
}
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S. S. Volosivets; B. I. Golubov. Weighted Integrability of Multiple Multiplicative Fourier Transforms. Matematičeskie zametki, Tome 111 (2022) no. 3, pp. 365-374. http://geodesic.mathdoc.fr/item/MZM_2022_111_3_a3/