Description of Pointwise Multipliers in Pairs of Besov Spaces
Tatyana Shaposhnikova
Linköping University, Sweden
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Abstract
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 .
Cite this article
Tatyana Shaposhnikova, Description of Pointwise Multipliers in Pairs of Besov Spaces . Z. Anal. Anwend. 28 (2009), no. 1, pp. 67–85
DOI 10.4171/ZAA/1373