Geodesic
Modulus of continuity for Bessel type poteniial over Lorentz space
Eurasian mathematical journal, Tome 12 (2021) no. 2, pp. 10-18

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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. 
@article{EMJ_2021_12_2_a1,
     author = {N. H. Alkhalil},
     title = {Modulus of continuity for {Bessel} type poteniial over {Lorentz} space},
     journal = {Eurasian mathematical journal},
     pages = {10--18},
     publisher = {mathdoc},
     volume = {12},
     number = {2},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EMJ_2021_12_2_a1/}
}
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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/