Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Mobile Device Pairing
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

On the centered Hardy-Littlewood maximal operator


Author: Antonios D. Melas
Journal: Trans. Amer. Math. Soc. 354 (2002), 3263-3273
MSC (2000): Primary 42B25
Published electronically: February 20, 2002
MathSciNet review: 1897399
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We will study the centered Hardy-Littlewood maximal operator acting on positive linear combinations of Dirac deltas. We will use this to obtain improvements in both the lower and upper bounds or the best constant $C$ in the $L^{1}\rightarrow$ weak $L^{1}$ inequality for this operator. In fact we will show that $\frac{11+\sqrt{61}}{12}=1.5675208...\leq C\leq\frac{5} {3}=1.66...$.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 42B25

Retrieve articles in all journals with MSC (2000): 42B25


Additional Information

Antonios D. Melas
Affiliation: Department of Mathematics, University of Athens, Panepistimiopolis 15784, Athens, Greece
Email: amelas@math.uoa.gr

DOI: http://dx.doi.org/10.1090/S0002-9947-02-02900-8
PII: S 0002-9947(02)02900-8
Received by editor(s): March 14, 2000
Received by editor(s) in revised form: June 15, 2001
Published electronically: February 20, 2002
Article copyright: © Copyright 2002 American Mathematical Society