A weak-type estimate for commutators

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F12%3A00386963" target="_blank" >RIV/67985840:_____/12:00386963 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1093/imrn/rnr193" target="_blank" >http://dx.doi.org/10.1093/imrn/rnr193</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1093/imrn/rnr193" target="_blank" >10.1093/imrn/rnr193</a>

Result language
angličtina
Original language name
A weak-type estimate for commutators
Original language description
Let K be a smooth Calderon-Zygmund convolution kernel on R-2 and suppose that we are given a function alpha is an element of L-infinity. The two-dimensional commutator Tf(x) = integral K(x-y)f(y)integral((x,y)) a(z) dzdy was shown to be bounded on L-p(R-2), p > 1 by Christ and Journe [2]. In this article, we show that this operator is also of weak type (1,1).
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
<a href="/en/project/KJB100190901" target="_blank" >KJB100190901: Singular and maximal operators on function spaces</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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