4 citations · 12 across the 25 of their papers we have counts for
8 papers · 1 filter
A Hardy inequality and applications to reverse Holder inequalities for weights on
Eleftherios N. Nikolidakis
We prove a sharp integral inequality valid for non-negative functions defined on , with given norm. This is in fact a generalization of the well known integral Hardy i…
A sharp integral Hardy type inequality and applications to Muckenhoupt weights on
Eleftherios N. Nikolidakis
We prove a generalization of a Hardy type inequality for negative exponents valid for non-negative functions defined on . As an application we find the exact best possible r…
weights on , an alternative approach
Eleftherios N. Nikolidakis
We will prove that if belongs to the class with constant then the decreasing rearrangement of , belongs to the same class with constant not more than .…
Extremal sequences for the Bellman function of three variables of the dyadic maximal operator in relation to Kolmogorov's inequality
Eleftherios Nikolidakis
We give a characterization of the extremal sequences for the Bellman function of three variables of the dyadic maximal operator in relation to Kolmogorov's inequality. In fact we p…
The Bellman function of the dyadic maximal operator related to Kolmogorov's inequality
Eleftherios Nikolidakis
We precisely compute the Bellman function of two variables of the dyadic maximal operator in relation to Kolmogorov inequality. In this way we give an alternative proof of the resu…
Extremal sequences for the Bellman function of the dyadic maximal operator and applications to the Hardy operator
Eleftherios Nikolidakis
We prove that the extremal sequences for the Bellman function of the dyadic maximal operator behave approximately as eigenfunctions of this operator for a specific eigenvalue. We u…
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.
Extremal sequences for the Bellman function of the dyadic maximal operator
Eleftherios Nikolidakis
We give a characterization of the extremal sequences for the Bellman function of the dyadic maximal operator.In fact we prove that they behave approximately like eigenfunctions of…