Some Remarks on Multiplier Spaces II: BV-Type Spaces
Daria Bugajewska
Adam Mickiewicz University of Poznan, PolandSimon Reinwand
Julius Maximilian Universität Würzburg, Germany
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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