Cones generated by a generalized fractional maximal function

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F23%3A00575313" target="_blank" >RIV/67985840:_____/23:00575313 - isvavai.cz</a>

Výsledek na webu

<a href="https://dx.doi.org/10.31489/2023M2/53-62" target="_blank" >https://dx.doi.org/10.31489/2023M2/53-62</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.31489/2023M2/53-62" target="_blank" >10.31489/2023M2/53-62</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Cones generated by a generalized fractional maximal function

Popis výsledku v původním jazyce

The paper considers the space of generalized fractional-maximal function, constructed on the basis of a rearrangement-invariant space. Two types of cones generated by a nonincreasing rearrangement of a generalized fractional-maximal function and equipped with positive homogeneous functionals are constructed. The question of embedding the space of generalized fractional-maximal function in a rearrangement-invariant space is investigated. This question reduces to the embedding of the considered cone in the corresponding rearrangement-invariant spaces. In addition, conditions for covering a cone generated by generalized fractional-maximal function by the cone generated by generalized Riesz potentials are given. Cones from non-increasing rearrangements of generalized potentials were previously considered in the works of M. Goldman, E. Bakhtigareeva, G. Karshygina and others.

Název v anglickém jazyce

Cones generated by a generalized fractional maximal function

Popis výsledku anglicky

The paper considers the space of generalized fractional-maximal function, constructed on the basis of a rearrangement-invariant space. Two types of cones generated by a nonincreasing rearrangement of a generalized fractional-maximal function and equipped with positive homogeneous functionals are constructed. The question of embedding the space of generalized fractional-maximal function in a rearrangement-invariant space is investigated. This question reduces to the embedding of the considered cone in the corresponding rearrangement-invariant spaces. In addition, conditions for covering a cone generated by generalized fractional-maximal function by the cone generated by generalized Riesz potentials are given. Cones from non-increasing rearrangements of generalized potentials were previously considered in the works of M. Goldman, E. Bakhtigareeva, G. Karshygina and others.

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

2023

Kód důvěrnosti údajů

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

Název periodika

Bulletin of the Karaganda University. Mathematics Series

ISSN

2518-7929

e-ISSN

—

Svazek periodika

110

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

KZ - Republika Kazachstán

Počet stran výsledku

10

Strana od-do

53-62

Kód UT WoS článku

001025724900005

EID výsledku v databázi Scopus

2-s2.0-85169017823