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The paper presents the results of our study on the existence of functions which are universal (by rectangles and by spheres) for the weighted class \(L_{\mu}^{1}[0,1)^{2}\) with respect to the double Walsh system, in the sense of signs.

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On the Universal Functions for Weighted Spaces

  • 会议论文

  • 发表日期：

    2025年

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  • Artsrun Sargsyan,
  • Martin Grigoryan

摘要

The paper presents the results of our study on the existence of functions which are universal (by rectangles and by spheres) for the weighted class \(L_{\mu}^{1}[0,1)^{2}\) with respect to the double Walsh system, in the sense of signs.