A note on rare maximal functions

Paul Alton Hagelstein

Colloquium Mathematicae (2003)

  • Volume: 95, Issue: 1, page 49-51
  • ISSN: 0010-1354

Abstract

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A necessary and sufficient condition is given on the basis of a rare maximal function M l such that M l f L ¹ ( [ 0 , 1 ] ) implies f ∈ L log L([0,1]).

How to cite

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Paul Alton Hagelstein. "A note on rare maximal functions." Colloquium Mathematicae 95.1 (2003): 49-51. <http://eudml.org/doc/284726>.

@article{PaulAltonHagelstein2003,
abstract = {A necessary and sufficient condition is given on the basis of a rare maximal function $M_\{l\}$ such that $M_\{l\}f ∈ L¹([0,1])$ implies f ∈ L log L([0,1]).},
author = {Paul Alton Hagelstein},
journal = {Colloquium Mathematicae},
keywords = {rare maximal function; Hardy-Littlewood maximal function},
language = {eng},
number = {1},
pages = {49-51},
title = {A note on rare maximal functions},
url = {http://eudml.org/doc/284726},
volume = {95},
year = {2003},
}

TY - JOUR
AU - Paul Alton Hagelstein
TI - A note on rare maximal functions
JO - Colloquium Mathematicae
PY - 2003
VL - 95
IS - 1
SP - 49
EP - 51
AB - A necessary and sufficient condition is given on the basis of a rare maximal function $M_{l}$ such that $M_{l}f ∈ L¹([0,1])$ implies f ∈ L log L([0,1]).
LA - eng
KW - rare maximal function; Hardy-Littlewood maximal function
UR - http://eudml.org/doc/284726
ER -

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