Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9495775 | Journal of Functional Analysis | 2005 | 25 Pages |
Abstract
It is well-known that Ï2-sectorial operators generally do not admit a bounded Hâ calculus over the right half-plane. In contrast to this, we prove that the Hâ calculus is bounded over any class of functions whose Fourier spectrum is contained in some interval [ε,Ï] with 0<ε<Ï<â. The constant bounding this calculus grows as logÏeε as Ïεââ and this growth is sharp over all Banach space operators of the class under consideration. It follows from these estimates that Ï2-sectorial operators admit a bounded calculus over the Besov algebra Bâ10 of the right half-plane. We also discuss the link between Ï2-sectorial operators and bounded Tadmor-Ritt operators.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Pascale Vitse,