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On Embedding of the Class $H^{\omega }$

机译:关于嵌入类$ H ^ {&#92omega} $

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摘要

In [4] we extended an interesting theorem of Medvedeva [5] pertaining to the embedding relation where denotes the set of functions of -bounded variation, which is encountered in the theory of Fourier trigonometric series. Now we give a further generalization of our result. Our new theorem tries to unify the notion of -variation due to Young [6], and that of the generalized Wiener class due to Kita and Yoneda [3]. For further references we refer to the paper by Goginava [2].
机译:在[4]中,我们扩展了Medvedeva [5]的一个有趣的定理,该定理与嵌入关系有关,其中表示有界变化的函数集,这在傅立叶三角级数理论中遇到。现在,我们对结果进行进一步概括。我们的新定理试图统一归因于Young的-variation概念[6],以及归因于Kita和Yoneda归纳的广义Wiener类概念[3]。有关更多参考,请参考Goginava [2]的论文。

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