On the failure of the Hormander multiplier theorem in a limiting case
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F20%3A10422167" target="_blank" >RIV/00216208:11320/20:10422167 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=CFmUDiw.~r" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=CFmUDiw.~r</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.4171/RMI/1157" target="_blank" >10.4171/RMI/1157</a>
Alternative languages
Result language
angličtina
Original language name
On the failure of the Hormander multiplier theorem in a limiting case
Original language description
We discuss the Hormander multiplier theorem for L-p boundedness of Fourier multipliers in which the multiplier belongs to a fractional Sobolev space with smoothness s. We show that this theorem does not hold in the limiting case vertical bar 1/p-1/2 vertical bar = s/n.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Revista Matematica Iberoamericana
ISSN
0213-2230
e-ISSN
—
Volume of the periodical
36
Issue of the periodical within the volume
4
Country of publishing house
ES - SPAIN
Number of pages
8
Pages from-to
1013-1020
UT code for WoS article
000557189600003
EID of the result in the Scopus database
2-s2.0-85093817515