Geodesic
Modulus of continuity for Bessel type poteniial over Lorentz space
Eurasian mathematical journal, Tome 12 (2021) no. 2, pp. 10-18 
N. H. Alkhalil. Modulus of continuity for Bessel type poteniial over Lorentz space. Eurasian mathematical journal, Tome 12 (2021) no. 2, pp. 10-18. http://geodesic.mathdoc.fr/item/EMJ_2021_12_2_a1/
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     title = {Modulus of continuity for {Bessel} type poteniial over {Lorentz} space},
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Voir la notice de l'article provenant de la source Math-Net.Ru

The generalized Bessel potentials are constructed using convolutions of the generalized Bessel–McDonald kernels with functions belonging to a basic rearrangement invariant space. Under assumptions ensuring the embedding of potentials into the space of bounded continuous functions, differential properties of potentials are described by using the $k$-th order modulus of continuity in the uniform norm. In the paper, estimates are given for the $k$-th order modulus of continuity in the uniform norm in the case of the generalized Bessel potentials constructed over the basic weighted Lorentz space.

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