Growth properties for Riesz potentials of functions in weighted variable \(L^{p(\cdot)}\) spaces. (English) Zbl 1375.31008
Summary: We study growth properties of spherical means for Riesz potentials of functions in weighted Lebesgue spaces of variable exponent. We also deal with Green potentials and monotone Sobolev functions.
MSC:
| 31B15 | Potentials and capacities, extremal length and related notions in higher dimensions |
| 46E35 | Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems |
References:
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