Оператор типа потенциала переменного порядка по $\mathbb{\dot{R}}^n$ в весовых пространствах обобщенной переменной гельдеровости

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.