Eleftherios N. Nikolidakis

activity

20122018

collaborators

9 papers

math.FA2025

A note on the Muckenhoupt class $A_{1} (R)$

Eleftherios N. Nikolidakis, Andreas G. Tolias

We provide a direct proof of the best possible reverse Holder inequality satisfied by every weight defined on the interval $(0, 1)$ with A1-constant equal to c > 1.

math.CA2025

On a constant related to the Bellman function of three integral variables of the dyadic maximal operator: Part A

Eleftherios N. Nikolidakis

We study the behaviour of the constant that is provided in the articles [12] and [13], which is connected with the determination of the Bellman function of three integral variables…

math.CA2025

On a constant related to the Bellman function of three integral variables of the dyadic maximal operator: Part B

Eleftherios N. Nikolidakis

We study the behaviour of the constant that is provided in the articles [12] and [13], which is connected with the determination of the Bellman function of three integral variables…

math.FA2018

A refinement of a Hardy type inequality for negative exponents, and sharp applications to Muckenhoupt weights on R

Eleftherios N. Nikolidakis, Theodoros Stavropoulos

We prove a sharp integral inequality that generalizes the well known Hardy type integral inequality for negative exponents. We also give sharp applications in two directions for Mu…

math.FA2018

Properties of the Bellman function related to the Carleson Imbedding theorem for the dyadic maximal operator

Eleftherios N. Nikolidakis

We provide a description for the Bellman function related to the Carleson Imbedding theorem, first mentioned in [4], with the use of the Hardy operator.

math.FA2017

A second alternative approach for the study of the Muckenhoupt class $A_{1} (R)$

Eleftherios N. Nikolidakis

We find the exact best possible range of those $p > 1$ for which any function which belongs to $A_{1} (R)$ , with $A_{1}$ -constant equal to $c$ , must also belong to $L^{p}$ . In th…

A note on the Muckenhoupt class A1​(R)

On a constant related to the Bellman function of three integral variables of the dyadic maximal operator: Part A

On a constant related to the Bellman function of three integral variables of the dyadic maximal operator: Part B

A refinement of a Hardy type inequality for negative exponents, and sharp applications to Muckenhoupt weights on R

Properties of the Bellman function related to the Carleson Imbedding theorem for the dyadic maximal operator

A second alternative approach for the study of the Muckenhoupt class A1​(R)

A note on the Muckenhoupt class $A_{1} (R)$

A second alternative approach for the study of the Muckenhoupt class $A_{1} (R)$