期刊论文详细信息
Ural Mathematical Journal | |
ON \(\Lambda\)-CONVERGENCEALMOST EVERYWHEREOF MULTIPLE TRIGONOMETRIC FOURIERSERIES | |
Nikolai Yu. Antonov1  | |
[1] Institute of Mathematics and Mechanics of the Ural Branch of Russian Academy of Sciences, Ekaterinburg; | |
关键词: Trigonometric Fourier series, Rectangular partial sums, Convergence almost everywhere; | |
DOI : 10.15826/umj.2017.2.003 | |
来源: DOAJ |
【 摘 要 】
We consider one type of convergence of multiple trigonometric Fourier series intermediate between the convergence over cubes and the \(\lambda \)-convergence for \(\lambda >1\). The well-known result on the almost everywhere convergence over cubes of Fourier series of functions from the class \( L (\ln ^ + L) ^ d \ln ^ + \ln ^ + \ln ^ + L ([0,2 \pi)^d ) \) has been generalized to the case of the \( \Lambda \)-convergence for some sequences \(\Lambda\).
【 授权许可】
Unknown