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

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2017

Kód důvěrnosti údajů

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

Název periodika

Banach Journal of Mathematical Analysis

ISSN

1735-8787

e-ISSN

—

Svazek periodika

11

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

PL - Polská republika

Počet stran výsledku

25

Strana od-do

636-660

Kód UT WoS článku

000407474600009

EID výsledku v databázi Scopus

2-s2.0-85024907778