On weighted Cesàro function spaces
The result's identifiers
Result code in 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>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
On weighted Cesàro function spaces
Original language description
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.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GA23-04720S" target="_blank" >GA23-04720S: Fine properties of functions, operators and function spaces</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
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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Number of pages
10
Pages from-to
93-102
Publisher name
Element
Place of publication
Zagreb
Event location
Karlstad
Event date
Aug 19, 2024
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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