JournalszaaVol. 28, No. 1pp. 67–85

Description of Pointwise Multipliers in Pairs of Besov Spaces <em>B<sub>1</sub><sup>k</sup>(ℝ<sup>n</sup>)</em>

  • Tatyana Shaposhnikova

    Linköping University, Sweden
Description of Pointwise Multipliers in Pairs of Besov Spaces <em>B<sub>1</sub><sup>k</sup>(ℝ<sup>n</sup>)</em> cover
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Abstract

Necessary and sufficient conditions for a function to be a multiplier mapping the Besov space B1m(Rn)B_1^m(\mathbb R^n) into the Besov space B1l(Rn)B_1^l(\mathbb R^n) with integer ll and mm, 0<lm0<l\leq m, are found. It is shown that multipliers between B1m(Rn)B_1^m(\mathbb R^n) and B1l(Rn)B_1^l(\mathbb R^n) form the space of traces of multipliers between the Sobolev classes W1m+1(R+n+1)W_1^{m+1}(\mathbb R^{n+1}_+) and W1l+1(R+n+1)W_1^{l+1}(\mathbb R^{n+1}_+).

Cite this article

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. 67–85

DOI 10.4171/ZAA/1373