Abstract
We show that the spaceV *φ generated by a φ-variation (or φ-variation of Riesz, or λ-variation of Waterman) forms a commutative Banach algebra with respect to the pointwise multiplication under the appropriate choice of norms.
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Maligranda, L., Orlicz, W. On some properties of functions of generalized variation. Monatshefte für Mathematik 104, 53–65 (1987). https://doi.org/10.1007/BF01540525
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DOI: https://doi.org/10.1007/BF01540525