Geodesic
$L^p$-improving properties of measures supported on curves on the Heisenberg group
Studia Mathematica, Tome 132 (1999) no. 2, pp. 179-201

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

$L^p$-$L^q$ boundedness properties are obtained for operators defined by convolution with measures supported on certain curves on the Heisenberg group. We find the curvature condition for which the type set of these operators can be the full optimal trapezoid with vertices A=(0,0), B=(1,1), C=(2/3,1/2), D=(1/2,1/3). We also give notions of right curvature and left curvature which are not mutually equivalent.
DOI : 10.4064/sm-132-2-179-201

Silvia Secco 1

1 
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Silvia Secco. $L^p$-improving properties of measures supported on curves on the Heisenberg group. Studia Mathematica, Tome 132 (1999) no. 2, pp. 179-201. doi: 10.4064/sm-132-2-179-201

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