7 citations · 13 across the 5 of their papers we have counts for
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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…
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…
Dyadic weights on and reverse Holder inequalities
Eleftherios N. Nikolidakis, Antonios D. Melas
We prove that for any weight defined on that satisfies a reverse Holder inequality with exponent p > 1 and constant upon all dyadic subcubes of , it'…
A sharp integral rearrangement inequality for the dyadic maximal operator and applications
Eleftherios Nikolidakis, Antonios Melas
We prove a sharp integral inequality for the dyadic maximal operator and give as an application another proof for the computation of its Bellman function of three variables.
The Bellman function of two variables for the dyadic maximal operator
Eleftherios N. Nikolidakis, Antonios D. Melas
For p>1 we find the Bellman function of two variables associated with the dyadic maximal operator on Rn.Actually we do that in the more general setting of tree-like maximal operato…