Some Applications of $$L^1$$ -Estimates of Fractional Integral Operators in Lorentz Spaces
Tóm tắt
In this paper, we establish some application of
$$L^1$$
-estimates for the Riesz potentials of order
$$\alpha $$
in some Lorentz spaces. We use this estimate to improve certain Olsen-type inequalities in Lorentz spaces. In addition, some endpoint vector-valued inequalities for the Riesz potentials in Lebesgue spaces are obtained.
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