Edit Profile (opens in new tab) Melas, Antonios D. Co-Author Distance Author ID: melas.antonios-d Published as: Melas, Antonios D.; Melas, Antonios; Melas, A. more...less Documents Indexed: 34 Publications since 1992, including 1 Additional arXiv Preprint Co-Authors: 10 Co-Authors with 17 Joint Publications 268 Co-Co-Authors all top 5 Co-Authors 16 single-authored 9 Nikolidakis, Eleftherios Nikolaos 4 Nestoridis, Vassili 3 Stavropoulos, Theodoros 2 Kahane, Jean-Pierre 1 Atreas, Nikolaos D. 1 Bodmann, Bernhard G. 1 Cheliotis, Dimitrios 1 Costakis, George 1 Papadakis, Manos 1 Papadoperakis, Ioannis all top 5 Serials 5 Proceedings of the American Mathematical Society 3 Advances in Mathematics 3 Bulletin of the London Mathematical Society 2 Journal d’Analyse Mathématique 2 Journal of Mathematical Analysis and Applications 2 Studia Mathematica 2 Journal of Differential Geometry 2 Transactions of the American Mathematical Society 2 The Journal of Geometric Analysis 2 Applied and Computational Harmonic Analysis 1 Arkiv för Matematik 1 Annales de l’Institut Fourier 1 Journal of Functional Analysis 1 Complex Variables. Theory and Application 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Annals of Mathematics. Second Series 1 Sampling Theory in Signal and Image Processing all top 5 Fields 20 Harmonic analysis on Euclidean spaces (42-XX) 8 Functions of a complex variable (30-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Partial differential equations (35-XX) 1 Potential theory (31-XX) 1 General topology (54-XX) 1 Numerical analysis (65-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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