Reduction principle for a certain class of kernel-type operators

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F20%3A10422935" target="_blank" >RIV/00216208:11320/20:10422935 - isvavai.cz</a>

Result on the web

<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=xVPLBSd.3K" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=xVPLBSd.3K</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1002/mana.201800510" target="_blank" >10.1002/mana.201800510</a>

Result language

angličtina

Original language name

Reduction principle for a certain class of kernel-type operators

Original language description

The classical Hardy-Littlewood inequality asserts that the integral of a product of two functions is always majorized by that of their non-increasing rearrangements. One of the pivotal applications of this result is the fact that the boundedness of an integral operator acting near zero is equivalent to the boundedness of the same operator restricted to the cone of positive non-increasing functions.

Czech name

—

Czech description

—

Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10101 - Pure mathematics

Project

—

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2020

Confidentiality

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

Name of the periodical

Mathematische Nachrichten

ISSN

0025-584X

e-ISSN

—

Volume of the periodical

293

Issue of the periodical within the volume

4

Country of publishing house

DE - GERMANY

Number of pages

13

Pages from-to

761-773

UT code for WoS article

000511519800001

EID of the result in the Scopus database

2-s2.0-85079124744