On square functions associated to sectorial operators
Christian Le Merdy (2004)
Bulletin de la Société Mathématique de France
Similarity:
We give new results on square functions associated to a sectorial operator on for . Under the assumption that is actually -sectorial, we prove equivalences of the form for suitable functions . We also show that has a bounded functional calculus with respect to . Then we apply our results to the study of conditions under which we have an estimate , when generates a bounded semigroup on and is a linear mapping.