ON THE NECESSITY OF BUMP CONDITIONS FOR THE TWO-WEIGHTED MAXIMAL INEQUALITY

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F17%3A10372606" target="_blank" >RIV/00216208:11320/17:10372606 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1090/proc/13355" target="_blank" >http://dx.doi.org/10.1090/proc/13355</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1090/proc/13355" target="_blank" >10.1090/proc/13355</a>

Result language
angličtina
Original language name
ON THE NECESSITY OF BUMP CONDITIONS FOR THE TWO-WEIGHTED MAXIMAL INEQUALITY
Original language description
We study the necessity of bump conditions for the boundedness of the Hardy-Littlewood maximal operator between weighted L-p spaces with different weights. The conditions in question are obtained by replacing the L-p' average of sigma(1/p)' in the Muckenhoupt A(p)-condition by an average with respect to a stronger Banach function norm, and are known to be sufficient for the two-weighted maximal inequality. We show that these conditions are in general not necessary for such an inequality to be true.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA13-14743S" target="_blank" >GA13-14743S: Function spaces, weighted inequalities and interpolation II</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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