Normed Orlicz function spaces which can be quasi-renormed with easily calculable quasinorms

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F17%3A00476939" target="_blank" >RIV/67985840:_____/17:00476939 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1215/17358787-2017-0009" target="_blank" >http://dx.doi.org/10.1215/17358787-2017-0009</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1215/17358787-2017-0009" target="_blank" >10.1215/17358787-2017-0009</a>

Result language
angličtina
Original language name
Normed Orlicz function spaces which can be quasi-renormed with easily calculable quasinorms
Original language description
We are interested in the widest possible class of Orlicz functions phi such that the easily calculable quasinorm ... if ..., on the Orlicz space ... generated by phi, is equivalent to the Luxemburg norm ... To do this, we use a suitable delta2-condition, lower and upper Simonenko indices pS a (phi) and qS a (phi) for the generating function phi, numbers ... satisfying qS a ..., and an embedding of ... into a suitable Köthe function space ... We take as E the Lebesgue spaces Lr(...) with ..., when the measure ny is nonatomic and finite, and the weighted Lebesgue spaces ..., with ... and a suitable weight function omega, when the measure ny is nonatomic infinite but rho-finite. We also use condition delta3 if pS a (phi) = 1 and condition delta2 if pS a (phi) > 1, proving their necessity in most of the considered cases.
Czech name
—
Czech description
—

Type
J<sub>imp</sub> - 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
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)