Geodesic
A Note on Sectorial and R-Sectorial Operators
Bollettino della Unione matematica italiana, Série 9, Tome 1 (2008) no. 1, pp. 79-85

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

The following results are proved: (i) if $\alpha$, $\beta \in \mathbb{R}^+$ and $A$ is a sectorial operator, then the set $\{t^{\alpha}A^{\beta}(t+A); t>0 \}$ is bounded; (ii) the same set of operators is R-bounded if $A$ is R-sectorial. 
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     author = {Venni, Alberto},
     title = {A {Note} on {Sectorial} and {R-Sectorial} {Operators}},
     journal = {Bollettino della Unione matematica italiana},
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     publisher = {mathdoc},
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     number = {1},
     year = {2008},
     zbl = {1164.47041},
     mrnumber = {2387998},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2008_9_1_1_a2/}
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Venni, Alberto. A Note on Sectorial and R-Sectorial Operators. Bollettino della Unione matematica italiana, Série 9, Tome 1 (2008) no. 1, pp. 79-85. http://geodesic.mathdoc.fr/item/BUMI_2008_9_1_1_a2/