Wiener transformation on functions with bounded averages

Chen, Yong Zhuo; Lau, Ka-Sing

doi:10.1090/S0002-9939-1990-0990416-0

Wiener transformation on functions with bounded averages
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by Yong Zhuo Chen and Ka-Sing Lau

Proc. Amer. Math. Soc. 108 (1990), 411-421

DOI: https://doi.org/10.1090/S0002-9939-1990-0990416-0

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Abstract:

The Wiener transformation (integrated Fourier transformation) on the space ${B^2} = \{ f:\left \| f \right \| = {\sup _{T \geq 1}}{(\frac {1}{{2T}}{\int _{ - T}^T {\left | f \right |} ^2})^{1/2}} < \infty \}$ is studied.

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