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math.CA2016★ 5 cited
Poincaré inequalities for the maximal function
Olli Saari
We study generalized Poincaré inequalities. We prove that if a function satisfies a suitable inequality of Poincaré type, then the Hardy-Littlewood maximal function also obeys a me…
math.CA2016
Sharp inequalities for one-sided Muckenhoupt weights
Paul A. Hagelstein, Ioannis Parissis, Olli Saari
Let denote the class of one-sided Muckenhoupt weights, namely all the weights for which for some , where $\mathsf M^+…