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Maximal estimates on measure spaces for weak-type multipliers
Authors:Nakhlé Asmar  Earl Berkson  T. A. Gillespie
Affiliation:1. Department of Mathematics, University of Missouri-Columbia, 65211, Columbia, Missouri, USA
2. Department of Mathematics, University of Illinois, 1409 West Green St., 61801, Urbana, Illinois, USA
3. Department of Mathematics, University of Edinburgh, James Clerk Maxwell Building, EH9 3JZ, Edinburgh, Scotland
Abstract:We describe sufficient conditions for transferring from locally compact abelian groups to measure spaces the weak-type bounds of maximal operators defined by multipliers of weak type. This leads to homomorphism theorems for maximal multiplier operators. Communicated by Guido Weiss
Keywords:  KeywordHeading"  >Math Subject Classification 43A22  43A32  46E30
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