Variable order Riesz potential over $\mathbb{\dot{R}}^n$ on weighted generalized variable H\"older spaces

B. G. Vakulov ; Yu. E. Drobotov

Sibirskie èlektronnye matematičeskie izvestiâ, Tome 14 (2017), pp. 647-656.

Résumé

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.

Détail

Mots-clés : fractional calculus
Keywords: variable order, generalized Hölder space, Riesz potential.

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