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arXiv · 0901.4197

Weighted norms inequalities for a maximal operator in some subspace of amalgams

Justin Feuto·Ibrahim Fofana·Konin Koua
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Abstract

We give weighted norm inequalities for the maximal fractional operator $ \mathcal M_{q,β}$ of Hardy-Littlewood and the fractional integral $I_γ$. These inequalities are established between $(L^{q},L^{p}) ^α(X,d,μ)$ spaces (which are super spaces of Lebesgue spaces $L^α(X,d,μ)$, and subspaces of amalgams $(L^{q},L^{p})(X,d,μ)$) and in the setting of space of homogeneous type $(X,d,μ)$. The conditions on the weights are stated in terms of Orlicz norm.

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Justin Feuto, Ibrahim Fofana, Konin Koua. 2009-01-27. Weighted norms inequalities for a maximal operator in some subspace of amalgams. https://arxiv.org/abs/0901.4197

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