On estimates of non-increasing rearrangement of generalized fractional maximal function

0574188 - MÚ 2024 RIV KZ eng J - Journal Article
Bokayev, N. A. - Gogatishvili, Amiran
On estimates of non-increasing rearrangement of generalized fractional maximal function.
Eurasian Mathematical Journal. Roč. 14, č. 2 (2023), s. 13-23. ISSN 2077-9879
Institutional support: RVO:67985840
Keywords : generalized fractional maximal function * non-increasing rearrangements * generalized Riesz potential
OECD category: Pure mathematics
Impact factor: 1, year: 2022
Method of publishing: Open access
https://dx.doi.org/10.32523/2077-9879-2023-14-2-13-23

We give a sharp pointwise estimate of the non-increasing rearrangement of the generalized fractional maximal function (MΦf)(x) via an expression involving the non-increasing rearrangement of f. It is shown that the obtained estimate is more sharp than the inequality which follows from the estimate for the generalized Riesz potential.
Permanent Link: https://hdl.handle.net/11104/0344537