| Abstrakt: |
Abstract: We are concerned with the boundedness of generalized fractional integral operators $I_{\rho,\tau}$ from Orlicz spaces $L^{\Phi}(X)$ near $L^1(X)$ to Orlicz spaces $L^{\Psi}(X)$ over metric measure spaces equipped with lower Ahlfors $Q$-regular measures, where $\Phi$ is a function of the form $\Phi(r)=r\ell(r)$ and $\ell$ is of log-type. We give a generalization of paper by Mizuta et al. (2010), in the Euclidean setting. We deal with both generalized Riesz potentials and generalized logarithmic potentials. |
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