"An Extension of the Córdoba–Fefferman Theorem on the Equivalence Between the Boundedness of Certain Classes of Maximal and Multiplier Operators" by Paul Hagelstein

Article

An Extension of the Córdoba–Fefferman Theorem on the Equivalence Between the Boundedness of Certain Classes of Maximal and Multiplier Operators

Comptes Rendus Mathematique (2008)

Paul Hagelstein, Baylor University
Alexander M. Stokolos, Georgia Southern University

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Abstract

The Córdoba–Fefferman theorem involving the equivalence between boundedness properties of certain classes of maximal and multiplier operators is extended utilizing the recent work of Bateman on directional maximal operators as well as the work of Hagelstein and Stokolos on geometric maximal operators associated to homothecy invariant bases of convex sets satisfying Tauberian conditions.

Keywords

Córdoba–Fefferman theorem,
Tauberian conditions,
Boundedness,
Maximal,
Multiplier Operators

Disciplines

Mathematics

Publication Date

October, 2008

DOI

10.1016/j.crma.2008.09.010

Citation Information

Paul Hagelstein and Alexander M. Stokolos. "An Extension of the Córdoba–Fefferman Theorem on the Equivalence Between the Boundedness of Certain Classes of Maximal and Multiplier Operators" Comptes Rendus Mathematique Vol. 346 Iss. 19-20 (2008) p. 1063 - 1065 ISSN: 1631-073X
Available at: http://works.bepress.com/alex_stokolos/3/