Geodesic
Order-sharp estimates for decreasing rearrangements of convolutions
Eurasian mathematical journal, Tome 15 (2024) no. 4, pp. 8-32 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper, we study estimates for convolutions on some classes of measurable, positive and radial symmetrical functions. On this base we prove then order-sharp estimates for decreasing and symmetrical rearrangements of convolutions and for weighted mean values of rearrangements. These estimates give, in particular, a reversal of the well-known inequalities for convolutions proved by R. OвЂTMNeil. 
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E. G. Bakhtigareeva; M. L. Goldman. Order-sharp estimates for decreasing rearrangements of convolutions. Eurasian mathematical journal, Tome 15 (2024) no. 4, pp. 8-32. http://geodesic.mathdoc.fr/item/EMJ_2024_15_4_a0/

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