Orthogonality Principle for Bilinear Littlewood-Paley Decompositions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F14%3A10283442" target="_blank" >RIV/00216208:11320/14:10283442 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s00041-014-9350-5" target="_blank" >http://dx.doi.org/10.1007/s00041-014-9350-5</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00041-014-9350-5" target="_blank" >10.1007/s00041-014-9350-5</a>

Result language
angličtina
Original language name
Orthogonality Principle for Bilinear Littlewood-Paley Decompositions
Original language description
We explore Littlewood-Paley like decompositions of bilinear Fourier multipliers. Grafakos and Li (Am. J. Math. 128(1):91-119 2006) showed that a bilinear symbol supported in an angle in the positive quadrant is bounded from into if its restrictions to dyadic annuli are bounded bilinear multipliers in the local case , , . We show that this range of indices is sharp and also discuss similar results for multipliers supported near axis and negative diagonal.
Czech name
—
Czech description
—

Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/LL1203" target="_blank" >LL1203: Properties of functions and mappings in Sobolev spaces</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)