Geodesic
Reverse Hypercontractivity for Subharmonic Functions
Canadian journal of mathematics, Tome 57 (2005) no. 3, pp. 506-534

Voir la notice de l'article provenant de la source Cambridge University Press

Contractivity and hypercontractivity properties of semigroups are now well understood when the generator, $A$ , is a Dirichlet form operator. It has been shown that in some holomorphic function spaces the semigroup operators, ${{e}^{-tA}}$ , can be bounded below from ${{L}^{p}}$ to ${{L}^{q}}$ when $p,\,q$ and $t$ are suitably related. We will show that such lower boundedness occurs also in spaces of subharmonic functions.
DOI : 10.4153/CJM-2005-022-2
Mots-clés : 58J35, 47D03, 47D07, 32Q99, 60J35, Reverse hypercontractivity, subharmonic 
Gross, Leonard; Grothaus, Martin. Reverse Hypercontractivity for Subharmonic Functions. Canadian journal of mathematics, Tome 57 (2005) no. 3, pp. 506-534. doi: 10.4153/CJM-2005-022-2
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