The lattice bump multiplier problem

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F22%3A10456397" target="_blank" >RIV/00216208:11320/22:10456397 - isvavai.cz</a>

Result on the web

<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=.qCQCZ.TMl" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=.qCQCZ.TMl</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.4064/sm201219-18-4" target="_blank" >10.4064/sm201219-18-4</a>

Result language

angličtina

Original language name

The lattice bump multiplier problem

Original language description

We study the lattice bump multiplier problem. Precisely, given a smoothbump supported in a ball centered at the origin, we consider the multiplier formed byadding the translations of this bump centered at N distinct lattice points. We investigatethe dependence on N of the Lp norm of the linear and bilinear operators associated withthis multiplier. We obtain sharp dependence on N in the linear case and in the bilinearcase when p &gt; 1.

Czech name

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Czech description

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Type

J_imp - 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

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

2022

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Studia Mathematica

ISSN

0039-3223

e-ISSN

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Volume of the periodical

262

Issue of the periodical within the volume

2

Country of publishing house

PL - POLAND

Number of pages

16

Pages from-to

225-240

UT code for WoS article

000697477000001

EID of the result in the Scopus database

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