On weighted Cesàro function spaces

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F24%3A00604285" target="_blank" >RIV/67985840:_____/24:00604285 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

On weighted Cesàro function spaces

Popis výsledku v původním jazyce

The main objective of this paper is to provide a comprehensive demonstration of recent results regarding the structures of the weighted Ces`aro and Copson function spaces. These spaces’ definitions involve local and global weighted Lebesgue norms, in other words, the norms of these spaces are generated by positive sublinear operators and by weighted Lebesgue norms. The weighted Lebesgue spaces are the special cases of these spaces with a specific set of parameters. Our primary method of investigating these spaces will be the so-called discretization technique. Our technique will be the development of the approach initiated by K. G. Grosse-Erdmann, which allows us to obtain the characterization in previously unavailable situations, thereby addressing decades-old open problems. We investigate the relation (embeddings) between weighted Ces`aro and Copson function spaces. The characterization of these embeddings can be used to tackle the problems of characterizing pointwise multipliers between weighted Ces`aro and Copson function spaces, the characterizations of the associate spaces of Ces`aro (Copson) function spaces, as well as the relations between local Morrey-type spaces.

Název v anglickém jazyce

On weighted Cesàro function spaces

Popis výsledku anglicky

The main objective of this paper is to provide a comprehensive demonstration of recent results regarding the structures of the weighted Ces`aro and Copson function spaces. These spaces’ definitions involve local and global weighted Lebesgue norms, in other words, the norms of these spaces are generated by positive sublinear operators and by weighted Lebesgue norms. The weighted Lebesgue spaces are the special cases of these spaces with a specific set of parameters. Our primary method of investigating these spaces will be the so-called discretization technique. Our technique will be the development of the approach initiated by K. G. Grosse-Erdmann, which allows us to obtain the characterization in previously unavailable situations, thereby addressing decades-old open problems. We investigate the relation (embeddings) between weighted Ces`aro and Copson function spaces. The characterization of these embeddings can be used to tackle the problems of characterizing pointwise multipliers between weighted Ces`aro and Copson function spaces, the characterizations of the associate spaces of Ces`aro (Copson) function spaces, as well as the relations between local Morrey-type spaces.

Druh

D - Stať ve sborníku

CEP obor

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OECD FORD obor

10101 - Pure mathematics

Projekt

<a href="/cs/project/GA23-04720S" target="_blank" >GA23-04720S: Jemné vlastnosti funkcí, operátorů a prostorů funkcí</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2024

Kód důvěrnosti údajů

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

Název statě ve sborníku

Conference Proceedings 'The 50, 70, 80, ... ∞ Conference in Mathematics'

ISBN

978-953-250-257-2

ISSN

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e-ISSN

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Počet stran výsledku

10

Strana od-do

93-102

Název nakladatele

Element

Místo vydání

Zagreb

Místo konání akce

Karlstad

Datum konání akce

19. 8. 2024

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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