Cones of monotone function generated by a generalized fractional maximal function

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F24%3A00585978" target="_blank" >RIV/67985840:_____/24:00585978 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.30546/2219-1259.15.1.2024.2487" target="_blank" >https://doi.org/10.30546/2219-1259.15.1.2024.2487</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.30546/2219-1259.15.1.2024.2487" target="_blank" >10.30546/2219-1259.15.1.2024.2487</a>

Result language
angličtina
Original language name
Cones of monotone function generated by a generalized fractional maximal function
Original language description
In this paper, we consider the generalized fractional maximal function and use it to introduce the space of generalized fractional maximal functions and the various cones of monotone functions generated by generalized fractional maximal functions MΦf. We introduced three function classes. We give equivalent descriptions of such cones when the function Φ belongs to some function classes. The conditions for their mutual covering are given. Then, these cones are used to construct a criterion for embedding the space of generalized fractional maximal functions into the re-arrangement invariant spaces (RIS). The optimal RIS for such embedding is also described.
Czech name
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Czech description
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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
<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

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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