Necessary and sufficient conditions for a function to be a multiplier mapping the Besov space into the Besov space with integer and , , are found. It is shown that multipliers between and form the space of traces of multipliers between the Sobolev classes and .
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Tatyana Shaposhnikova, Description of Pointwise Multipliers in Pairs of Besov Spaces <em>B<sub>1</sub><sup>k</sup>(ℝ<sup>n</sup>)</em>. Z. Anal. Anwend. 28 (2009), no. 1, pp. 67–85DOI 10.4171/ZAA/1373