Orlicz bounds for operators of restricted weak type

Paul Alton Hagelstein

Colloquium Mathematicae (2005)

  • Volume: 103, Issue: 2, page 193-197
  • ISSN: 0010-1354

Abstract

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It is shown that if T is a sublinear translation invariant operator of restricted weak type (1,1) acting on L¹(𝕋), then T maps simple functions in L log L(𝕋) boundedly into L¹(𝕋).

How to cite

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Paul Alton Hagelstein. "Orlicz bounds for operators of restricted weak type." Colloquium Mathematicae 103.2 (2005): 193-197. <http://eudml.org/doc/283521>.

@article{PaulAltonHagelstein2005,
abstract = {It is shown that if T is a sublinear translation invariant operator of restricted weak type (1,1) acting on L¹(𝕋), then T maps simple functions in L log L(𝕋) boundedly into L¹(𝕋).},
author = {Paul Alton Hagelstein},
journal = {Colloquium Mathematicae},
keywords = {restricted weak type; sublinear operator; translation invariant operator; boundedness},
language = {eng},
number = {2},
pages = {193-197},
title = {Orlicz bounds for operators of restricted weak type},
url = {http://eudml.org/doc/283521},
volume = {103},
year = {2005},
}

TY - JOUR
AU - Paul Alton Hagelstein
TI - Orlicz bounds for operators of restricted weak type
JO - Colloquium Mathematicae
PY - 2005
VL - 103
IS - 2
SP - 193
EP - 197
AB - It is shown that if T is a sublinear translation invariant operator of restricted weak type (1,1) acting on L¹(𝕋), then T maps simple functions in L log L(𝕋) boundedly into L¹(𝕋).
LA - eng
KW - restricted weak type; sublinear operator; translation invariant operator; boundedness
UR - http://eudml.org/doc/283521
ER -

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