Geodesic
Two-weighted estimates for generalized fractional maximal operators on non-homogeneous spaces
Czechoslovak Mathematical Journal, Tome 68 (2018) no. 1, pp. 77-94

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Let $\mu $ be a nonnegative Borel measure on $\mathbb R^d$ satisfying that $\mu (Q)\le l(Q)^n$ for every cube $Q\subset \mathbb R^n$, where $l(Q)$ is the side length of the cube $Q$ and $0$. \endgraf We study the class of pairs of weights related to the boundedness of radial maximal operators of fractional type associated to a Young function $B$ in the context of non-homogeneous spaces related to the measure $\mu $. Our results include two-weighted norm and weak type inequalities and pointwise estimates. Particularly, we give an improvement of a two-weighted result for certain fractional maximal operator proved in W. Wang, C. Tan, Z. Lou (2012).
DOI : 10.21136/CMJ.2018.0337-16
Classification : 42B25
Keywords: non-homogeneous space; generalized fractional operator; weight 
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     title = {Two-weighted estimates for generalized fractional maximal operators on non-homogeneous spaces},
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Pradolini, Gladis; Recchi, Jorgelina. Two-weighted estimates for generalized fractional maximal operators on non-homogeneous spaces. Czechoslovak Mathematical Journal, Tome 68 (2018) no. 1, pp. 77-94. doi: 10.21136/CMJ.2018.0337-16

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