Lp-improving properties of measures supported on curves on the Heisenberg group
Secco, Silvia
Studia Mathematica, Tome 133 (1999), p. 179-201 / Harvested from The Polish Digital Mathematics Library
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Lp-Lq 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.

Publié le : 1999-01-01
EUDML-ID : urn:eudml:doc:216594 
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     author = {Silvia Secco},
     title = {$L^p$-improving properties of measures supported on curves on the Heisenberg group},
     journal = {Studia Mathematica},
     volume = {133},
     year = {1999},
     pages = {179-201},
     zbl = {0960.43009},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv132i2p179bwm}
}

Secco, Silvia. $L^p$-improving properties of measures supported on curves on the Heisenberg group. Studia Mathematica, Tome 133 (1999) pp. 179-201. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv132i2p179bwm/

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