0585978 - MÚ 2025 RIV TR eng J - Článek v odborném periodiku
Bokayev, N. A. - Gogatishvili, Amiran - Abek, A. N.
Cones of monotone function generated by a generalized fractional maximal function.
TWMS Journal of Pure and Applied Mathematics. Roč. 15, č. 1 (2024), s. 127-141. ISSN 2076-2585. E-ISSN 2219-1259
Grant CEP: GA ČR(CZ) GA23-04720S
Institucionální podpora: RVO:67985840
Klíčová slova: re-arrangement function * invariant spaces * maximal function * function spaces
Obor OECD: Pure mathematics
Impakt faktor: 3.8, rok: 2022
Způsob publikování: Omezený přístup
https://doi.org/10.30546/2219-1259.15.1.2024.2487

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.
Trvalý link: https://hdl.handle.net/11104/0353604