On continuity at zero of the maximal operator for a semifinite measure

Semyon Litvinov

Colloquium Mathematicae (2014)

  • Volume: 135, Issue: 1, page 79-84
  • ISSN: 0010-1354

Abstract

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For a sequence of linear maps defined on a Banach space with values in the space of measurable functions on a semifinite measure space, we examine the behavior of its maximal operator at zero.

How to cite

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Semyon Litvinov. "On continuity at zero of the maximal operator for a semifinite measure." Colloquium Mathematicae 135.1 (2014): 79-84. <http://eudml.org/doc/284266>.

@article{SemyonLitvinov2014,
abstract = {For a sequence of linear maps defined on a Banach space with values in the space of measurable functions on a semifinite measure space, we examine the behavior of its maximal operator at zero.},
author = {Semyon Litvinov},
journal = {Colloquium Mathematicae},
keywords = {maximal operator; Banach principle; semifinite measure; local measure topology},
language = {eng},
number = {1},
pages = {79-84},
title = {On continuity at zero of the maximal operator for a semifinite measure},
url = {http://eudml.org/doc/284266},
volume = {135},
year = {2014},
}

TY - JOUR
AU - Semyon Litvinov
TI - On continuity at zero of the maximal operator for a semifinite measure
JO - Colloquium Mathematicae
PY - 2014
VL - 135
IS - 1
SP - 79
EP - 84
AB - For a sequence of linear maps defined on a Banach space with values in the space of measurable functions on a semifinite measure space, we examine the behavior of its maximal operator at zero.
LA - eng
KW - maximal operator; Banach principle; semifinite measure; local measure topology
UR - http://eudml.org/doc/284266
ER -

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