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Corrigendum to ``On a discrete version of Tanaka's theorem for maximal functions''


Authors: Jonathan Bober, Emanuel Carneiro, Kevin Hughes, Dariusz Kosz and Lillian B. Pierce
Journal: Proc. Amer. Math. Soc. 143 (2015), 5471-5473
MSC (2010): Primary 42B25, 46E35
DOI: https://doi.org/10.1090/proc/12778
Published electronically: September 1, 2015
Original Article: Proc. Amer. Math. Soc. 140 (2012), 1669-1680.
MathSciNet review: 3411160
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Abstract: In this note we present a brief fix for an oversight in the proof of Lemma 3(iii) in a 2012 paper by Bober, Carneiro, Hughes and Pierce.


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Additional Information

Jonathan Bober
Affiliation: Heilbronn Institute for Mathematical Research, School of Mathematics, University of Bristol, Howard House, Queens Avenue, Bristol BS8 1SN, United Kingdom
Email: j.bober@bristol.ac.uk

Emanuel Carneiro
Affiliation: IMPA - Instituto Nacional de Matematica Pura e Aplicada - Estrada Dona Castorina, 110, Rio de Janeiro, RJ, Brazil 22460-320
Email: carneiro@impa.br

Kevin Hughes
Affiliation: School of Mathematics, The University of Edinburgh, James Clerk Maxwell Building, The King’s Buildings, Peter Guthrie Tait Road, Edinburgh, EH9 3FD, Scotland, Unitd Kingdom
Email: khughes3@staffmail.ed.ac.uk

Dariusz Kosz
Affiliation: Ul. Gałczyńskiego 9/9, 48-304 Nysa, Poland
Email: darekkkosz@o2.pl

Lillian B. Pierce
Affiliation: Department of Mathematics, Duke University, Durham, North Carolina 27708
Email: pierce@math.duke.edu

DOI: https://doi.org/10.1090/proc/12778
Keywords: Maximal operators, Sobolev spaces, discrete operators, Tanaka's theorem
Received by editor(s): February 28, 2015
Published electronically: September 1, 2015
Communicated by: Thomas Schlumprecht
Article copyright: © Copyright 2015 American Mathematical Society