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math.CA2014★ 11 cited
Weighted Solyanik estimates for the strong maximal function
Paul A. Hagelstein, Ioannis Parissis
Let denote the strong maximal operator on and let be a non-negative, locally integrable function. For we define the weighted s…
math.CA2014★ 6 cited
Solyanik estimates and local Hölder continuity of halo functions of geometric maximal operators
Paul A. Hagelstein, Ioannis Parissis
Let be a homothecy invariant basis consisting of convex sets in , and define the associated geometric maximal operator by $$ M_{\mathc…
math.CA2014★ 14 cited
Weighted Solyanik Estimates for the Hardy-Littlewood maximal operator and embedding of into
Paul A. Hagelstein, Ioannis Parissis
Let denote a weight in which belongs to the Muckenhoupt class and let denote the uncentered Hardy-Littlewood maximal operator defined w…