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

   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Two-weighted estimations for the
Hardy-Littlewood maximal function
in ideal Banach spaces


Author: E. I. Berezhnoi
Journal: Proc. Amer. Math. Soc. 127 (1999), 79-87
MSC (1991): Primary 42B20, 42B25
MathSciNet review: 1622773
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We give conditions on a couple of ideal Banach spaces with weights which are both necessary and sufficient for the Hardy-Littlewood maximal function to satisfy the two-weighted estimations of weak type, and we consider a modification of the Hardy-Littlewood maximal function. We also give some conditions on weights in order for the Hardy-Littlewood maximal function and the modification under consideration to fulfil the two-weighted estimations of strong type.


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


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 42B20, 42B25

Retrieve articles in all journals with MSC (1991): 42B20, 42B25


Additional Information

E. I. Berezhnoi
Email: smirn@gw.yspu.yar.ru

DOI: http://dx.doi.org/10.1090/S0002-9939-99-04998-9
PII: S 0002-9939(99)04998-9
Received by editor(s): December 11, 1991
Received by editor(s) in revised form: September 19, 1996
Communicated by: J. Marshall Ash
Article copyright: © Copyright 1999 American Mathematical Society