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Showing 1 to 2 of 2 for “"weighted norm inequalities"”.
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Weighted Norm Inequalities for the Maximal Operator on Variable Lebesgue Spaces Over Spaces of Homogeneous Type
… type $(X,\mu,d)$, we prove strong-type weighted norm inequalities for the Hardy-Littlewood maximal operator over the variable exponent Lebesgue spaces $L^\pp$. We prove that the variable Muckenhoupt condition $\App$ is necessary and sufficient for the strong type inequality if $\pp$ …
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Topics on Harmonic analysis and Multilinear Algebra
… A_{\vec{P}}$. In paper VI, we investigate the weighted bounds with dependence on aperture $\alpha$ for multilinear square functions $S_{\alpha,\psi}(\vec{f})$. We show that $$ \|S_{\alpha,\psi}(\vec{f})\|_{L^p(\nu_{\vec{w}})} \leq C_{n,m,\psi,\vec{P}}~ …