Blower, Gordon
(2002)
*Maximal functions and subordination for operator groups.*
Proceedings of the Edinburgh Mathematical Society, 45 (1).
pp. 27-42.
ISSN 0013-0915

Official URL: https://doi.org/10.1017/S0013091500000535

## 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/researchoutput/libraryofcongress/qa

Subjects:

Departments:

ID Code:

1693

Deposited By:

Deposited On:

18 Feb 2008 10:06

Refereed?:

Yes

Published?:

Published

Last Modified:

28 Feb 2020 00:59