Geodesic
Multipliers Between Sobolev Spaces
Canadian mathematical bulletin, Tome 34 (1991) no. 4, pp. 465-473

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DOI

A sufficient condition for the boundedness of a multiplier from a Sobolev space of index t > 1 / 4 to one of opposite index — t is obtained. The condition relates the indices of the Sobolev spaces to which the multiplier belongs to the pairs of Sobolev spaces between which the multiplier is bounded. The result is applied to homogeneous multipliers and a description of these multipliers in this setting is presesented. Extensions to higher dimensions are indicated.
DOI : 10.4153/CMB-1991-075-7
Mots-clés : 42B15, 46E35 
Fabec, R. C. Multipliers Between Sobolev Spaces. Canadian mathematical bulletin, Tome 34 (1991) no. 4, pp. 465-473. doi: 10.4153/CMB-1991-075-7
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     title = {Multipliers {Between} {Sobolev} {Spaces}},
     journal = {Canadian mathematical bulletin},
     pages = {465--473},
     year = {1991},
     volume = {34},
     number = {4},
     doi = {10.4153/CMB-1991-075-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1991-075-7/}
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