Convolution in Rearrangement-Invariant Spaces Defined in Terms of Oscillation and the Maximal Function

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F14%3A10373118" target="_blank" >RIV/00216208:11320/14:10373118 - isvavai.cz</a>

Result on the web

<a href="https://doi.org/10.4171/ZAA/1517" target="_blank" >https://doi.org/10.4171/ZAA/1517</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.4171/ZAA/1517" target="_blank" >10.4171/ZAA/1517</a>

Result language

angličtina

Original language name

Convolution in Rearrangement-Invariant Spaces Defined in Terms of Oscillation and the Maximal Function

Original language description

We characterize boundedness of a convolution operator with a fixed kernel between the classes S p ( v), de fined in terms of oscillation, and weighted Lorentz spaces Gamma(q)(w), defined in terms of the maximal function, for 0 &lt; p; q &lt;= infinity. We prove corresponding weighted Young-type inequalities of the form parallel to f * g parallel to Gamma(q)(w) &lt;= C parallel to f parallel to S-p(v)parallel to g parallel to Y and characterize the optimal rearrangement-invariant space Y for which these inequalities hold.

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

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Continuities

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

Name of the periodical

Zeitschrift für Analysis und ihre Anwendung

ISSN

0232-2064

e-ISSN

—

Volume of the periodical

33

Issue of the periodical within the volume

4

Country of publishing house

DE - GERMANY

Number of pages

15

Pages from-to

369-383

UT code for WoS article

000347639000001

EID of the result in the Scopus database

2-s2.0-84907964840