We consider the motion of a fluid in the exterior of a rotating obstacle. This leads to a modified version of the Stokes system which we consider in the whole space R n , n = 2 or n = 3 and in an exterior domain D ⊂ R 3. For every q ∈ (1, ∞) we prove existence of solutions and estimates in function spaces with weights taken from a subclass of the Muckenhoupt class A q. Moreover, uniqueness is shown modulo a vector space of dimension 3.
−α f p as p → r + (1 < r < ∞). The study has been motivated by current investigations of convolution maximal functions in stochastic analysis, where the problem occurs for r = 2. We also touch the problem of comparison of results in various scales of spaces.
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