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Two-weighted estimations for the Hardy-Littlewood maximal function in ideal Banach spaces
Author(s):
E.
I.
Berezhnoi
Journal:
Proc. Amer. Math. Soc.
127
(1999),
79-87.
MSC (1991):
Primary 42B20, 42B25
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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:
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Additional Information:
E.
I.
Berezhnoi
Affiliation:
Faculty of Mathematics, Yaroslavl State University, ul Sovietskaya 14, 150 000 Yaroslavl, Russia
Email:
smirn@gw.yspu.yar.ru
DOI:
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
Copyright of article:
Copyright
1999,
American Mathematical Society
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