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math.FA2015
Estimates for Bellman functions related to dyadic-like maximal operators on weighted spaces
Antonios D. Melas, Eleftherios N. Nikolidakis, Dimitrios Cheliotis
We provide some new estimates for Bellman type functions for the dyadic maximal opeator on and of maximal operators on martingales related to weighted spaces. Using a type of…
math.FA2015
Sharp Lorentz estimates for dyadic-like maximal operators and related Bellman functions
Antonios D. Melas, Eleftherios N. Nikolidakis
We precisely evaluate Bellman type functions for the dyadic maximal opeator on and of maximal operators on martingales related to local Lorentz type estimates. Using a type o…