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On Maximal Inequalities Arising in Best Approximation
Best approximants $arPhi$-approximants $sigma$-lattices Maximal inequalities
2010/1/22
Let be a function in an Orlicz space and be the set of all the best -approximants to given a lattice Weak type inequalities are proved for the maximal operator where is any selection of func...
On Some Maximal Inequalities for Demisubmartingales and $N-$demisuper Martingales
Maximal inequalities Demisubmartingales N-demisupermartingales
2008/6/27
We study maximal inequalities for demisubmartingales and N-demisupermartingales and obtain inequalities between dominated demisubmartingales. A sequence of partial sums of zero mean associated random ...