Geodesic
Variable order Riesz potential over $\mathbb{\dot{R}}^n$ on weighted generalized variable H\"older spaces
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 14 (2017), pp. 647-656

Voir la notice de l'article provenant de la source Math-Net.Ru

Theorems on the conditions for the spherical Riesz potential type operator to be bounded in the generalized Hölder spaces are considered to develop results for the spatial case. Due to applying stereographic projection, theorems on boundedness of the variable order multidimensional potential type operator in the generalized variable Hölder spaces are proven.
Mots-clés : fractional calculus
Keywords: variable order, generalized Hölder space, Riesz potential. 
@article{SEMR_2017_14_a117,
     author = {B. G. Vakulov and Yu. E. Drobotov},
     title = {Variable order {Riesz} potential over $\mathbb{\dot{R}}^n$ on weighted generalized variable {H\"older} spaces},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {647--656},
     publisher = {mathdoc},
     volume = {14},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2017_14_a117/}
}
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B. G. Vakulov; Yu. E. Drobotov. Variable order Riesz potential over $\mathbb{\dot{R}}^n$ on weighted generalized variable H\"older spaces. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 14 (2017), pp. 647-656. http://geodesic.mathdoc.fr/item/SEMR_2017_14_a117/