Geodesic
On estimates of non-increasing rearrangement of generalized fractional maximal function
Eurasian mathematical journal, Tome 14 (2023) no. 2, pp. 13-23

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We give a sharp pointwise estimate of the non-increasing rearrangement of the generalized fractional maximal function $(M_\Phi f)(x)$ 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. 
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     title = {On estimates of non-increasing rearrangement of generalized fractional maximal function},
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     url = {http://geodesic.mathdoc.fr/item/EMJ_2023_14_2_a1/}
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N. A. Bokayev; A. Gogatishvili; A. N. Abek. On estimates of non-increasing rearrangement of generalized fractional maximal function. Eurasian mathematical journal, Tome 14 (2023) no. 2, pp. 13-23. http://geodesic.mathdoc.fr/item/EMJ_2023_14_2_a1/