Some Remarks on Multiplier Spaces II: BV-Type Spaces

  • Daria Bugajewska

    Adam Mickiewicz University of Poznan, Poland
  • Simon Reinwand

    Julius Maximilian Universität Würzburg, Germany
Some Remarks on Multiplier Spaces II: BV-Type Spaces cover

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Abstract

The aim of this note, which is a continuation of the article [Z. Anal. Anwend. 38 (2019), 125–142], is to characterize the multiplier classes of functions such that belongs to whenever belongs to for certain given classes and of real valued functions on [0, 1] of bounded variation. This paper is the second of two connected papers and deals with classes and of functions of bounded variation in the sense of Young, Wiener, Waterman and Riesz, to which we also compare the classical spaces from the first part [Z. Anal. Anwend. 38 (2019), 125–142]. Moreover, we give some multiplier classes concerning related spaces like Lipschitz and absolutely continuous functions.

Cite this article

Daria Bugajewska, Simon Reinwand, Some Remarks on Multiplier Spaces II: BV-Type Spaces. Z. Anal. Anwend. 38 (2019), no. 3, pp. 309–327

DOI 10.4171/ZAA/1639