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Author ID: melas.antonios-d Recent zbMATH articles by "Melas, Antonios D."
Published as: Melas, Antonios D.; Melas, Antonios; Melas, A.
Documents Indexed: 34 Publications since 1992, including 1 Additional arXiv Preprint
Co-Authors: 10 Co-Authors with 17 Joint Publications
268 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

27 Publications have been cited 468 times in 315 Documents Cited by Year
Universality of Taylor series as a generic property of holomorphic functions. Zbl 0985.30023
Melas, A.; Nestoridis, V.
71
2001
The Bellman functions of dyadic-like maximal operators and related inequalities. Zbl 1084.42016
Melas, Antonios D.
46
2005
A lower bound for sums of eigenvalues of the Laplacian. Zbl 1015.58011
Melas, Antonios D.
36
2003
The best constant for the centered Hardy-Littlewood maximal inequality. Zbl 1055.42013
Melas, Antonios D.
36
2003
On the nodal line of the second eigenfunction of the Laplacian in \(\mathbb{R}^ 2\). Zbl 0769.58056
Melas, Antonios D.
32
1992
The stability of some eigenvalue estimates. Zbl 0770.35049
Melas, Antonios D.
26
1992
Affine dual frames and extension principles. Zbl 1294.42004
Atreas, Nikolaos; Melas, Antonios; Stavropoulos, Theodoros
24
2014
Growth of coefficients of universal Taylor series and comparison of two classes of functions. Zbl 0894.30003
Melas, A.; Nestoridis, V.; Papadoperakis, I.
23
1997
Sharp general local estimates for dyadic-like maximal operators and related Bellman functions. Zbl 1178.42021
Melas, Antonios D.
21
2009
Universal functions on nonsimply connected domains. Zbl 0989.30003
Melas, Antonios D.
20
2001
On various types of universal Taylor series. Zbl 1023.30005
Melas, Antonios; Nestoridis, Vassili
17
2001
Dyadic-like maximal operators on \(L \log L\) functions. Zbl 1173.42011
Melas, Antonios D.
16
2009
Dyadic-like maximal operators on integrable functions and Bellman functions related to Kolmogorov’s inequality. Zbl 1194.42026
Melas, Antonios D.; Nikolidakis, Eleftherios
15
2010
A sharp \(L^{p}\) inequality for dyadic \(A_{1}\) weights in \(\mathbb{R}^{n}\). Zbl 1087.42015
Melas, Antonios D.
11
2005
On the range of universal functions. Zbl 1023.30003
Costakis, G.; Melas, A.
10
2000
On weak type inequalities for dyadic maximal functions. Zbl 1159.42014
Melas, Antonios D.; Nikolidakis, Eleftherios
10
2008
An example of a harmonic map between Euclidean balls. Zbl 0836.54007
Melas, Antonios D.
9
1993
A sharp integral rearrangement inequality for the dyadic maximal operator and applications. Zbl 1306.42038
Nikolidakis, Eleftherios N.; Melas, Antonios D.
8
2015
On the centered Hardy-Littlewood maximal operator. Zbl 1015.42015
Melas, Antonios D.
7
2002
On the growth of universal functions. Zbl 0973.30002
Melas, Antonios D.
7
2000
Sharp local lower \(L^p\)-bounds for dyadic-like maximal operators. Zbl 1347.42035
Melas, Antonios D.; Nikolidakis, Eleftherios; Stavropoulos, Theodoros
5
2013
Dyadic weights on \(\mathbb {R}^n\) and reverse Hölder inequalities. Zbl 1354.42044
Nikolidakis, Eleftherios N.; Melas, Antonios D.
4
2016
A Liouville type theorem for the Schrödinger operator. Zbl 0955.58028
Melas, Antonios D.
3
1999
Local lower norm estimates for dyadic maximal operators and related Bellman functions. Zbl 1376.42025
Melas, Antonios D.; Nikolidakis, Eleftherios N.
3
2017
Sharp Lorentz estimates for dyadic-like maximal operators and related Bellman functions. Zbl 1390.42027
Melas, Antonios D.; Nikolidakis, Eleftherios N.
3
2017
Restricted universality of power series. Zbl 1023.30004
Kahane, Jean-Pierre; Melas, Antonios D.
2
2001
On universal Taylor series. (Sur les séries de Taylor universelles.) Zbl 0965.42004
Kahane, Jean-Pierre; Melas, Antonios; Nestoridis, Vassili
1
2000
Local lower norm estimates for dyadic maximal operators and related Bellman functions. Zbl 1376.42025
Melas, Antonios D.; Nikolidakis, Eleftherios N.
3
2017
Sharp Lorentz estimates for dyadic-like maximal operators and related Bellman functions. Zbl 1390.42027
Melas, Antonios D.; Nikolidakis, Eleftherios N.
3
2017
Dyadic weights on \(\mathbb {R}^n\) and reverse Hölder inequalities. Zbl 1354.42044
Nikolidakis, Eleftherios N.; Melas, Antonios D.
4
2016
A sharp integral rearrangement inequality for the dyadic maximal operator and applications. Zbl 1306.42038
Nikolidakis, Eleftherios N.; Melas, Antonios D.
8
2015
Affine dual frames and extension principles. Zbl 1294.42004
Atreas, Nikolaos; Melas, Antonios; Stavropoulos, Theodoros
24
2014
Sharp local lower \(L^p\)-bounds for dyadic-like maximal operators. Zbl 1347.42035
Melas, Antonios D.; Nikolidakis, Eleftherios; Stavropoulos, Theodoros
5
2013
Dyadic-like maximal operators on integrable functions and Bellman functions related to Kolmogorov’s inequality. Zbl 1194.42026
Melas, Antonios D.; Nikolidakis, Eleftherios
15
2010
Sharp general local estimates for dyadic-like maximal operators and related Bellman functions. Zbl 1178.42021
Melas, Antonios D.
21
2009
Dyadic-like maximal operators on \(L \log L\) functions. Zbl 1173.42011
Melas, Antonios D.
16
2009
On weak type inequalities for dyadic maximal functions. Zbl 1159.42014
Melas, Antonios D.; Nikolidakis, Eleftherios
10
2008
The Bellman functions of dyadic-like maximal operators and related inequalities. Zbl 1084.42016
Melas, Antonios D.
46
2005
A sharp \(L^{p}\) inequality for dyadic \(A_{1}\) weights in \(\mathbb{R}^{n}\). Zbl 1087.42015
Melas, Antonios D.
11
2005
A lower bound for sums of eigenvalues of the Laplacian. Zbl 1015.58011
Melas, Antonios D.
36
2003
The best constant for the centered Hardy-Littlewood maximal inequality. Zbl 1055.42013
Melas, Antonios D.
36
2003
On the centered Hardy-Littlewood maximal operator. Zbl 1015.42015
Melas, Antonios D.
7
2002
Universality of Taylor series as a generic property of holomorphic functions. Zbl 0985.30023
Melas, A.; Nestoridis, V.
71
2001
Universal functions on nonsimply connected domains. Zbl 0989.30003
Melas, Antonios D.
20
2001
On various types of universal Taylor series. Zbl 1023.30005
Melas, Antonios; Nestoridis, Vassili
17
2001
Restricted universality of power series. Zbl 1023.30004
Kahane, Jean-Pierre; Melas, Antonios D.
2
2001
On the range of universal functions. Zbl 1023.30003
Costakis, G.; Melas, A.
10
2000
On the growth of universal functions. Zbl 0973.30002
Melas, Antonios D.
7
2000
On universal Taylor series. (Sur les séries de Taylor universelles.) Zbl 0965.42004
Kahane, Jean-Pierre; Melas, Antonios; Nestoridis, Vassili
1
2000
A Liouville type theorem for the Schrödinger operator. Zbl 0955.58028
Melas, Antonios D.
3
1999
Growth of coefficients of universal Taylor series and comparison of two classes of functions. Zbl 0894.30003
Melas, A.; Nestoridis, V.; Papadoperakis, I.
23
1997
An example of a harmonic map between Euclidean balls. Zbl 0836.54007
Melas, Antonios D.
9
1993
On the nodal line of the second eigenfunction of the Laplacian in \(\mathbb{R}^ 2\). Zbl 0769.58056
Melas, Antonios D.
32
1992
The stability of some eigenvalue estimates. Zbl 0770.35049
Melas, Antonios D.
26
1992
all top 5

Cited by 319 Authors

24 Nestoridis, Vassili
20 Osękowski, Adam
18 Nikolidakis, Eleftherios Nikolaos
14 Melas, Antonios D.
11 Mouze, Augustin
9 Vlachou, Vagia
7 Gardiner, Stephen J.
7 Zhang, Jianping
6 Bernal-Gonzàlez, Luis
6 Grossi, Massimo
6 Li, Yunzhang
6 Manolaki, Myrto
6 Müller, Jürgen
6 San Antolín, Angel
6 Yolcu, Selma Yıldırım
6 Yolcu, Turkay
5 Aldaz, Jésus Munárriz
5 Brasco, Lorenzo
5 Costakis, George
5 Luh, Wolfgang
5 Tsirivas, Nikolaos
5 Vasyunin, Vasiliĭ Ivanovich
4 Bañuelos, Rodrigo
4 Charpentier, Stéphane
4 Chen, Hua
4 Meyrath, Thierry
4 Pérez Lázaro, Francisco Javier
4 Slavin, Leonid
4 Steinerberger, Stefan
4 Wei, Guoxin
3 Calderón-Moreno, María del Carmen
3 Gauthier, Paul M.
3 Kariofillis, Christos
3 Kosz, Dariusz
3 Larson, Simon
3 Papachristodoulos, Christos
3 Provenzano, Luigi
3 Rapicki, Mateusz
3 Stavropoulos, Theodoros
3 Stolyarov, Dmitry M.
3 Zatitskii, Pavel B.
2 Atreas, Nikolaos D.
2 Beise, Hans-Peter
2 Bertrand, Jérôme
2 Buoso, Davide
2 Capdeboscq, Yves
2 Chen, Huyuan
2 Cheng, Qingming
2 Colbois, Bruno
2 De Philippis, Guido
2 Deleaval, Luc
2 Freitas, Pedro
2 Fu, Zunwei
2 Fusco, Nicola
2 Geisinger, Leander
2 Gharibyan, Tatevik L.
2 Golitsyna, Mayya
2 González Merino, Bernardo
2 Grumiau, Christopher
2 Han, Bin
2 Harrell, Evans M. II
2 Hermi, Lotfi
2 Hou, Xianming
2 Ilyin, Aleksei A.
2 Ivanisvili, Paata
2 Iwaniec, Tadeusz
2 Jia, HuiFang
2 Kennedy, James Bernard
2 Konstadilaki, Chariklia
2 Kotsovolis, Giorgos
2 Krejčiřík, David
2 Kulczycki, Tadeusz
2 Lai, Xudong
2 Liao, Guojun
2 Makridis, Konstantinos
2 Maronikolakis, Konstantinos
2 Maurey, Bernard
2 Munnier, Vincent
2 Nadirashvili, Nikolai S.
2 Nitsch, Carlo
2 Onninen, Jani
2 Pacella, Filomena
2 Papadakis, Manos
2 Papadimitropoulos, Christos
2 Rela, Ezequiel
2 Rey, Guillermo
2 Soria, Javier
2 Stubbe, Joachim
2 Weidl, Timo
2 Wu, Huoxiong
2 Yan, Dunyan
2 Yang, Yunyan
2 Zadik, Ilias
2 Zalik, Richard A.
2 Zbarsky, Samuel
2 Zeng, Lingzhong
2 Zhang, Yan
1 Abakumov, Evgeny V.
1 Alberti, Giovanni S.
1 Alessandrini, Giovanni
...and 219 more Authors
all top 5

Cited in 117 Serials

24 Journal of Mathematical Analysis and Applications
12 Proceedings of the American Mathematical Society
11 Computational Methods and Function Theory
10 Journal of Functional Analysis
10 The Journal of Geometric Analysis
9 Journal of Differential Equations
9 Calculus of Variations and Partial Differential Equations
9 Comptes Rendus. Mathématique. Académie des Sciences, Paris
8 Monatshefte für Mathematik
8 Complex Variables and Elliptic Equations
7 Journal of Approximation Theory
6 Journal of Mathematical Physics
6 Advances in Mathematics
6 Archiv der Mathematik
6 Transactions of the American Mathematical Society
5 Journal d’Analyse Mathématique
5 Mathematische Zeitschrift
5 Applied and Computational Harmonic Analysis
5 Banach Journal of Mathematical Analysis
4 Studia Mathematica
4 The Journal of Fourier Analysis and Applications
4 Annales Academiae Scientiarum Fennicae. Mathematica
4 Analysis (München)
4 Journal of Spectral Theory
3 Israel Journal of Mathematics
3 Mathematische Annalen
3 Applied Mathematics Letters
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Journal of Inequalities and Applications
3 Revista Matemática Complutense
3 Acta Mathematica Sinica. English Series
3 Mediterranean Journal of Mathematics
2 Communications in Mathematical Physics
2 Annales de l’Institut Fourier
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Bulletin of the London Mathematical Society
2 Duke Mathematical Journal
2 Illinois Journal of Mathematics
2 Integral Equations and Operator Theory
2 Results in Mathematics
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Constructive Approximation
2 Revista Matemática Iberoamericana
2 Communications in Partial Differential Equations
2 Linear Algebra and its Applications
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Potential Analysis
2 Communications in Contemporary Mathematics
2 International Journal of Wavelets, Multiresolution and Information Processing
2 Frontiers of Mathematics in China
2 Science China. Mathematics
2 Analysis and Mathematical Physics
2 Complex Analysis and its Synergies
2 Journal of Function Spaces
2 Bulletin of the Hellenic Mathematical Society
1 Analysis Mathematica
1 Applicable Analysis
1 Archive for History of Exact Sciences
1 Archive for Rational Mechanics and Analysis
1 Computers & Mathematics with Applications
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Rocky Mountain Journal of Mathematics
1 Arkiv för Matematik
1 Reviews in Mathematical Physics
1 Canadian Journal of Mathematics
1 Canadian Mathematical Bulletin
1 Collectanea Mathematica
1 Colloquium Mathematicum
1 Glasgow Mathematical Journal
1 Indiana University Mathematics Journal
1 Journal für die Reine und Angewandte Mathematik
1 Manuscripta Mathematica
1 Mathematische Nachrichten
1 Mathematika
1 Memoirs of the American Mathematical Society
1 Michigan Mathematical Journal
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Quarterly of Applied Mathematics
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste
1 Tôhoku Mathematical Journal. Second Series
1 Ergodic Theory and Dynamical Systems
1 Chinese Annals of Mathematics. Series B
1 Annals of Global Analysis and Geometry
1 Discrete & Computational Geometry
1 Journal of the American Mathematical Society
1 Forum Mathematicum
1 International Journal of Mathematics
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
1 Pattern Recognition
1 Bulletin of the American Mathematical Society. New Series
1 Indagationes Mathematicae. New Series
1 The Journal of Analysis
1 St. Petersburg Mathematical Journal
1 The New York Journal of Mathematics
1 Electronic Communications in Probability
1 Sbornik: Mathematics
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Mathematical Physics, Analysis and Geometry
...and 17 more Serials
all top 5

Cited in 37 Fields

115 Harmonic analysis on Euclidean spaces (42-XX)
90 Partial differential equations (35-XX)
80 Functions of a complex variable (30-XX)
32 Operator theory (47-XX)
31 Functional analysis (46-XX)
23 Global analysis, analysis on manifolds (58-XX)
21 Approximations and expansions (41-XX)
21 Calculus of variations and optimal control; optimization (49-XX)
20 Probability theory and stochastic processes (60-XX)
18 Potential theory (31-XX)
13 Sequences, series, summability (40-XX)
12 Real functions (26-XX)
8 Abstract harmonic analysis (43-XX)
6 Combinatorics (05-XX)
6 Numerical analysis (65-XX)
5 Several complex variables and analytic spaces (32-XX)
5 Differential geometry (53-XX)
4 Convex and discrete geometry (52-XX)
4 Mechanics of deformable solids (74-XX)
3 Difference and functional equations (39-XX)
3 Information and communication theory, circuits (94-XX)
2 History and biography (01-XX)
2 Number theory (11-XX)
2 Measure and integration (28-XX)
2 Ordinary differential equations (34-XX)
2 General topology (54-XX)
2 Biology and other natural sciences (92-XX)
2 Systems theory; control (93-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Topological groups, Lie groups (22-XX)
1 Dynamical systems and ergodic theory (37-XX)
1 Integral transforms, operational calculus (44-XX)
1 Algebraic topology (55-XX)
1 Computer science (68-XX)
1 Quantum theory (81-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Operations research, mathematical programming (90-XX)

Citations by Year