Weighted norm inequalities for averaging operators of monotone functions.

Christoph J. Neugebauer

Publicacions Matemàtiques (1991)

• Volume: 35, Issue: 2, page 429-447
• ISSN: 0214-1493

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Abstract

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We prove weighted norm inequalities for the averaging operator Af(x) = 1/x ∫0x f of monotone functions.

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Neugebauer, Christoph J.. "Weighted norm inequalities for averaging operators of monotone functions.." Publicacions Matemàtiques 35.2 (1991): 429-447. <http://eudml.org/doc/41698>.

@article{Neugebauer1991,
abstract = {We prove weighted norm inequalities for the averaging operator Af(x) = 1/x ∫0x f of monotone functions.},
author = {Neugebauer, Christoph J.},
journal = {Publicacions Matemàtiques},
keywords = {weighted norm inequality; monotone function; condition; weighted Hardy type inequality; Hardy-Littlewood maximal operator; averaging operator; condition},
language = {eng},
number = {2},
pages = {429-447},
title = {Weighted norm inequalities for averaging operators of monotone functions.},
url = {http://eudml.org/doc/41698},
volume = {35},
year = {1991},
}

TY - JOUR
AU - Neugebauer, Christoph J.
TI - Weighted norm inequalities for averaging operators of monotone functions.
JO - Publicacions Matemàtiques
PY - 1991
VL - 35
IS - 2
SP - 429
EP - 447
AB - We prove weighted norm inequalities for the averaging operator Af(x) = 1/x ∫0x f of monotone functions.
LA - eng
KW - weighted norm inequality; monotone function; condition; weighted Hardy type inequality; Hardy-Littlewood maximal operator; averaging operator; condition
UR - http://eudml.org/doc/41698
ER -

Citations in EuDML Documents

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1. Joan Cerdà, Joaquim Martín, Weighted Hardy inequalities and Hardy transforms of weights
2. Hans Heinig, Lech Maligranda, Weighted inequalities for monotone and concave functions
3. Stepanov, Vladimir D., Weighted norm inequalities for integral operators and related topics

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