Maximal operators associated with bilinear multipliers of limited decay

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F21%3A10441322" target="_blank" >RIV/00216208:11320/21:10441322 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=flKb6R2-td" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=flKb6R2-td</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11854-021-0154-7" target="_blank" >10.1007/s11854-021-0154-7</a>

Result language
angličtina
Original language name
Maximal operators associated with bilinear multipliers of limited decay
Original language description
Results analogous to those proved by Rubio de Francia [28] are obtained for a class of maximal functions formed by dilations of bilinear multiplier operators of limited decay. We focus our attention on L2 x L2 RIGHTWARDS ARROW L1 estimates. We discuss two applications: the boundedness of the bilinear maximal Bochner-Riesz operator and of the bilinear spherical maximal operator. For the latter we improve the known results in [1] by reducing the dimension restriction from n >= 8 to n >= 4.
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/GA18-07996S" target="_blank" >GA18-07996S: Geometric and Harmonic Analysis</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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