On singular integral and martingale transforms

MOspace/Manakin Repository

Breadcrumbs Navigation

On singular integral and martingale transforms

Please use this identifier to cite or link to this item: http://hdl.handle.net/10355/9810

[+] show full item record


Title: On singular integral and martingale transforms
Author: Montgomery-Smith, Stephen, 1963-; Geiss, Stefan; Saksman, Eero
Keywords: Riesz transform
Date: 2011-01-28
Abstract: Linear equivalences of norms of vector-valued singular integral operators and vector-valued martingale transforms are studied. In particular, it is shown that the UMD(p)-constant of a Banach space X equals the norm of the real (or the imaginary) part of the Beurling-Ahlfors singular integral operator, acting on the X-valued Lp-space on the plane. Moreover, replacing equality by a linear equivalence, this is found to be the typical property of even multipliers. A corresponding result for odd multipliers and the Hilbert transform is given.
URI: http://hdl.handle.net/10355/9810

This item appears in the following Collection(s)

  • Mathematics publications (MU) [119]
    The items in this collection are the scholarly output of the faculty, staff, and students of the Department of Mathematics.

[+] show full item record