Blower, Gordon (2002) Maximal functions and subordination for operator groups. Proceedings of the Edinburgh Mathematical Society, 45 (1). pp. 27-42. ISSN 0013-0915
Full text not available from this repository.Abstract
Let E be a UMD Banach space and L a positive and self-adjoint operator in L^2 of Laplace type such that the imaginary powers L^{-it} form a C_0 group of exponential growth on L^p(E). Suppose that G is holomorphis inside and on the boundary os a suitable sector. Then G(tL) defines a bounded family of linear operators on L^p(E); the maximal operator f->sup | G(tL)f| os bounded on the domain of log L. These hypotheses hold for the maximal solution operators for the heat, wave and Schroedinger operators, and for Cesaro sums.
Item Type:
Journal Article
Journal or Publication Title:
Proceedings of the Edinburgh Mathematical Society
Additional Information:
AMS 2000 classification 47D03; 42B25; 47D09 The final, definitive version of this article has been published in the Journal, Proceedings of the Edinburgh Mathematical Society, 45 (1), pp 27-42 2002, © 2002 Cambridge University Press.
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/2600/2600
Subjects:
?? maximal functionstransferenceumd banach spacesgeneral mathematicsmathematics(all)qa mathematics ??
Departments:
ID Code:
1693
Deposited By:
Deposited On:
18 Feb 2008 10:06
Refereed?:
Yes
Published?:
Published
Last Modified:
12 Dec 2024 00:07