Transference in spaces of measures

Simple item page
dc.creatorAsmar, Nakhlé
dc.creatorMontgomery-Smith, Stephen J.
dc.creatorSaeki, Sadahiro
dc.date1997-08-04
dc.date1999-12-03
dc.date.accessioned2026-07-07T09:08:27Z
dc.date.available2026-07-07T09:08:27Z
dc.descriptionThe transference theory for Lp spaces of Calderon, Coifman, and Weiss is a powerful tool with many applications to singular integrals, ergodic theory, and spectral theory of operators. Transference methods afford a unified approach to many problems in diverse areas, which before were proved by a variety of methods. The purpose of this paper is to bring about a similar approach to the study of measures. Specifically, deep results in classical harmonic analysis and ergodic theory, due to Bochner, de Leeuw-Glicksberg, Forelli, and others, are all extensions of the classical F.&M. Riesz Theorem. We will show that all these extensions are obtainable via our new transference principle for spaces of measures.
dc.descriptionAlso available at http://www.math.missouri.edu/~stephen/preprints/
dc.identifierhttps://arxiv.org/abs/math/9708204
dc.identifierhttp://arxiv.org/abs/math/9708204
dc.identifierJ. Functional Analysis 165, (1999), 1-23
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/150724
dc.subjectFunctional Analysis
dc.subject43A05 43A45 43A40 43A17
dc.titleTransference in spaces of measures
dc.typetext

Files

Collections

arXiv