Eleftherios N. Nikolidakis
Assistant Professor,
Department of Mathematics, University of Ioannina (2018-2020)
Visiting Assistant Professor, Department of Mathematics, University of
Ioannina (2015-2018)
Post-doc position, Department of Mathematics, University of Athens
(2013-2015)
Visiting Assistant Professor, Department of Mathematics, University of
Crete (2010-2013)
Visiting Assistant Professor, Department of Mathematics and Statistics,
University of Nicosia, Cyprus (2008-2010)
Office: 503δ
Τel : 30-26510-08291
E-mail : enikolid@uoi.gr
Office hours : Friday,
15:00-17:00
STUDIES: National and Kapodistrian University
of Athens, Department of Mathematics
Ph. D. in Mathematical Analysis
(2008)
Title: Geometry of Maximal Operators
Supervisor: Antonios D. Melas
M. Sc. in Pure Mathematics (2002)
B. Sc. in Mathematics (1996)
Διδασκαλία (ακαδ. έτος 2019-2020)
Χειμερινό εξάμηνο : Θεμελιώδεις Έννοιες Μαθηματικών, Θεωρία Συνόλων
Εαρινό εξάμηνο : Απειροστικός Λογισμός ΙΙ, Θέματα Πραγματικών Συναρτήσεων (ΜΑΕ 814)
Publications
1.
Melas, Antonios D.; Nikolidakis, Eleftherios On weak type
inequalities for dyadic maximal functions, J. Math. Anal. Appl. 348 (2008),
no. 1, 404-410 [Distrfunction.pdf].
2.
Melas, Antonios D.; Nikolidakis
Eleftherios Dyadic-like maximal operators on integrable
functions and Bellman functions related to Kolmogorov inequality, Trans.
Amer. Math. Soc. 362 (2010), no. 3, 1571-1597
3.
Nikolidakis, Eleftherios N.
Extremal problems related to dyadic-like maximal operators, J. Math.
Anal. Appl. 369 (2010), no. 1, 377-385. [arxiv.org/abs/1001.4966v1]
4.
Nikolidakis, Eleftherios N.
Sharp weak type inequalities for the dyadic maximal operator, J.
Fourier Anal. Appl. 19 (2013), no. 1, 115-139.
[arxiv.org/abs/1007.4980v3]
5.
Melas, Antonios D.; Nikolidakis
Eleftherios; Stavropoulos Theodoros Sharp local
lower p-integral bounds for dyadic-like maximal operators, Proc. Amer. Math.
Soc. 141 (2013), no. 9, 3171-3181
6.
Nikolidakis, Eleftherios N.
Optimal weak type estimates for dyadic-like maximal operators, Ann.
Acad. Sci. Fenn. Math. 38 (2013), no. 1, 229-244. [arxiv.org/abs/1007.4982v1]
7.
Nikolidakis, Eleftherios N.
Properties of extremal sequences for the Bellman function of the dyadic
maximal operator, Colloq. Math. 133 (2013), no. 2, 273-282.
8.
Nikolidakis, Eleftherios N.
A sharp integral Hardy type inequality and applications to Muckenhoupt
weights on R Ann. Acad. Sci. Fenn. Math. 39 (2014), no. 2, 887-896.
9.
Nikolidakis, Eleftherios N.
The geometry of the dyadic maximal operator, Rev. Mat. Iberoam. 30
(2014), no. 4, 1397-1411.
10. Nikolidakis, Eleftherios N.; Melas, Antonios D.
A sharp integral rearrangement inequality for the dyadic maximal
operator and applications, Appl. Comput. Harmon. Anal. 38 (2015), no. 2,
242-261. [arxiv.org/abs/1305.2521v3]
11. Nikolidakis, Eleftherios N. A1-weights on R, an alternative approach, Ann. Acad. Sci. Fenn. Math. 40
(2015), no. 2, 949-955. [arxiv.org/abs/1312.1742v2]
12. Nikolidakis, Eleftherios N. Dyadic
13. Nikolidakis, Eleftherios N.; Melas, Antonios D. Dyadic weights on
14. Nikolidakis, Eleftherios N. The Bellman function of the
dyadic maximal operator related to Kolmogorov inequality, Israel J. Math.
219 (2017), no. 2, 507-528.
15. Nikolidakis, Eleftherios N. Extremal sequences for the
Bellman function of the dyadic maximal operator, Rev. Mat. Iberoam. 33
(2017), no. 2, 489-508. [arxiv.org/abs/1301.2898v7]
16. Melas, Antonios D.; Nikolidakis, Eleftherios N. Local lower norm estimates for dyadic maximal
operators and related Bellman functions, J. Geom. Anal. 27 (2017), no. 3,
1940-1950.
17. Melas, Antonios D.; Nikolidakis, Eleftherios N.; Cheliotis Dimitrios Estimates for Bellman functions related to
dyadic-like maximal operators on weighted spaces, Studia Math. 239 (2017),
no. 1, 1-16. [arxiv.org/abs/1511.07146v1]
18. Nikolidakis, Eleftherios N. Dyadic-BMO functions, the dyadic
Gurov-Reshetnyak condition on the unit cube and equimeasurable rearrangements
of functions, Ann. Acad. Sci. Fenn. Math. 42 (2017), no. 2, 551-562. [arxiv.org/abs/1410.4128v1]
19. Melas, Antonios D.; Nikolidakis, Eleftherios N.
Sharp Lorentz estimates for dyadic-like maximal operators and related
Bellman functions, J. Geom. Anal. 27 (2017), no. 4, 2644-2657.
20. Nikolidakis, Eleftherios Nikolaos Extremal
sequences for the Bellman function of the dyadic maximal operator and applications
to the Hardy operator, Canad. J. Math. 69 (2017), no. 6, 1364-1384. [arxiv.org/abs/1305.2522v4]
21. Nikolidakis, Eleftherios N. A Hardy inequality and
applications to reverse Holder inequalities for weights on R, J. Math. Soc. Japan, 70 (2018), no.1,
141-152.
22. Delis, Anastasios D.; Nikolidakis, Eleftherios N. Sharp and general estimates for the Bellman
function of three integral variables related to the dyadic maximal operator, Colloq.
Math. 153 (2018), no. 1, 27-37. [arxiv.org/abs/1702.01419v1]
23. Delis, Anastasios D.; Nikolidakis, Eleftherios N. Sharp integral inequalities for the dyadic
maximal operator and applications, Math. Z. 291 (2019), no. 3-4, 1197-1209.
24. Nikolidakis, Eleftherios N.; Stavropoulos, Theodoros
A refinement of a Hardy type inequality for negative exponents, and
sharp applications to Muckenhoupt weights on R, Colloq. Math. 157 (2019),
no. 2, 295-308. [arxiv.org/abs/1804.00840v3]
25. Nikolidakis, Eleftherios N. Extremal sequences for the
Bellman function of three variables of the dyadic maximal operator related to
Kolmogorov inequality, Trans. Amer. Math. Soc. 372 (2019), no. 9,
6315-6342. [arxiv.org/abs/1305.6208v6]
26. Nikolidakis, Eleftherios N. A sharp integral inequality for
the dyadic maximal operator and a related stability result, Ann. Acad. Sci.
Fenn. Math. 45 (2020), 533-546.
Submitted papers
1. Nikolidakis, Eleftherios N. A second alternative approach
for the study of the Muckenhoupt class on R.
2. Nikolidakis, Eleftherios N. The Bellman function of the
dyadic maximal operator in connection with the Dyadic Carleson Imbedding
Theorem and related inequalities.