dr David Kaljaj
redovni profesor | Prirodno-matematički fakultet Rođen sam u Podgorici 11.12.1971. Osnovnu i srednju školu sam završio u Tuzima sa odličnim uspjehom. Školske 1990/1991, poslije odsluženja vojnog roka upisao sam studije matematike, smjer nastavno teorijski, na Prirodno-matematičkom fakultetu u Podgorici. Na istom sam fakultetu diplomirao 13. 10. 1995. godine sa prosječnom ocjenom 9.52. Pri tome, kao najbolji student PMF-a školske godine 1994/1995, sam dobio decembarsku nagradu. Poslijediplomske...
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Izabrane publikacije
| Godina | Kategorija | Autori | Naslov | Izvor |
|---|---|---|---|---|
| 2020 | SCI, SCIE, SSCI, A&HCI | David Kalaj | On Heinz-type inequality for the half-plane and Gaussian curvature of minimal surfaces | Proceeding American Mathematical Society |
| 2020 | SCI, SCIE, SSCI, A&HCI | David Kalaj | QUASICONFORMAL HARMONIC MAPPINGS BETWEEN DOMAINS CONTAINING INFINITY | Bulletin of the Australian Mathematical Society |
| 2019 | SCI, SCIE, SSCI, A&HCI | Kalaj David, Eero Saksman | Quasiconformal maps with controlled Laplacian | Journal d'Analyse Mathématique |
| 2019 | SCI, SCIE, SSCI, A&HCI | Kalaj David | (n,ρ) -harmonic mappings and energy minimal deformations between annuli | Calculus of Variations and Partial Differential Equations |
| 2019 | SCI, SCIE, SSCI, A&HCI | David Kalaj | On Riesz type inequalities for harmonic mappings on the unit disk | TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY |
| 2019 | SCI, SCIE, SSCI, A&HCI | Shaolin Chen, David Kalaj | The Schwarz Type Lemmas and the Landau Type Theorem of Mappings Satisfying Poisson’s Equations | Complex Analysis and Operator Theory |
| 2019 | SCI, SCIE, SSCI, A&HCI | David Kalaj Jian-Feng Zhu | Schwarz Pick type inequalities for harmonic maps between Riemann surfaces | Complex Variables and Elliptic Equations |
| 2018 | SCI, SCIE, SSCI, A&HCI | Chen Shaolin and David Kalaj | Lipschitz continuity of Bloch type mappings with respect to Bergman metric | Annales Academiae Scientiarum Fennicae Mathematica |
| 2018 | SCI, SCIE, SSCI, A&HCI | David Kalaj | A sharp inequality for harmonic diffeomorphisms of the unit disk | The Journal of Geometric Analysis |
| 2018 | SCI, SCIE, SSCI, A&HCI | David Kalaj | SCHWARZ LEMMA FOR HOLOMORPHIC MAPPINGS IN THE UNIT BALL | Glasgow mathematical journal |
| 2017 | SCI, SCIE, SSCI, A&HCI | David Kalaj | A proof of Khavinson's conjecture in R4 | Bulletin of the London Mathematical Society |
| 2017 | SCI, SCIE, SSCI, A&HCI | Kalaj David | Schwarz lemma for harmonic mappinig in the unit ball | Complex analysis and operator theory |
| 2017 | SCI, SCIE, SSCI, A&HCI | Josip Globevnik, David Kalaj | On holomorphic functions with cluster sets of finite linear measure | Mathematische Zeitschrift |
| 2017 | SCI, SCIE, SSCI, A&HCI | David Kalaj and Elver Bajrami | On Some Riesz and Carleman Type Inequalities for Harmonic Functions in the Unit Disk | Computational Methods and Function Theory |
| 2017 | SCI, SCIE, SSCI, A&HCI | D. Kalaj | On J. C. C. Nitsche’s type inequality for annuli on Riemann surfaces | Israel J. Math. |
| 2017 | SCI, SCIE, SSCI, A&HCI | David Kalaj | Invertible harmonic mappings of unit disk onto Dini smooth Jordan domains | Bulletin des Sciences Mathématiques |
| 2017 | SCI, SCIE, SSCI, A&HCI | Kalaj David | Radó-Kneser-Choquet theorem for harmonic mappings between surfaces. | Calc. Var. Partial Differ. Equ. |
| 2017 | SCI, SCIE, SSCI, A&HCI | David Kalaj, Djordjije Vujadinovic | Gradient of solution of the Poisson equation in the unit ball and related operators | Canadian Mathematical Bulletin |
| 2017 | SCI, SCIE, SSCI, A&HCI | David Kalaj, Jian-Feng Zhu | Quasiconformal Harmonic mappings and the curvature of the boundary | J. Math. Anal. Appl. |
| 2016 | SCI, SCIE, SSCI, A&HCI | Kalaj David | Heinz-Schwarz inequalities for harmonic mappings in the unit ball | Ann. Acad. Sci. Fenn., Math. |
| 2016 | SCI, SCIE, SSCI, A&HCI | D. Kalaj | Deformations of annuli on Riemann surfaces and the generalization of Nitsche conjecture | J. Lond. Math. Soc. |
| 2016 | SCI, SCIE, SSCI, A&HCI | David Kalaj, Matti Vuorinen, Gendi Wang | On Quasi-inversions | Monatshefte für Mathematik |
| 2016 | SCI, SCIE, SSCI, A&HCI | D. Kalaj, Djordjije Vujadinovic | THE SOLUTION OPERATOR OF THE INHOMOGENEOUS DIRICHLET PROBLEM IN THE UNIT BALL | Proc. Amer. Math. Soc. |
| 2016 | SCI, SCIE, SSCI, A&HCI | David Kalaj | Lindelöf theorem for harmonic mappings | J. Math. Soc. Japan |
| 2016 | SCI, SCIE, SSCI, A&HCI | Chen, Xingdi; Kalaj, David | A representation theorem for standard weighted harmonic mappings with an integer exponent and its applications | J. Math. Anal. Appl. |
| 2015 | SCI, SCIE, SSCI, A&HCI | David Kalaj, Djordjije Vujadinovic | Norm of the Bergman projection onto the Bloch space | Journal of operator theory |
| 2015 | SCI, SCIE, SSCI, A&HCI | David Kalaj | On lipschitz mappings of the unit circle onto a convex curve and their extension | Filomat |
| 2015 | SCI, SCIE, SSCI, A&HCI | D. Kalaj | Muckenhoupt weights and Lindelöf theorem for harmonic mappings | Adv. Math. |
| 2015 | SCI, SCIE, SSCI, A&HCI | David Kalaj | Quasiconformal harmonic mappings between Dini-smooth Jordan domains | Pacific Journal of Mathematics |
| 2014 | SCI, SCIE, SSCI, A&HCI | David Kalaj | On harmonic functins on surface with positive Gause Curvature and the Schwarz Lemma | Rocky Mountain Journal of Mathematics |
| 2014 | SCI, SCIE, SSCI, A&HCI | David Kalaj | Energy-minimal diffeomorphisms between doubly connected Riemann surfaces | Calculus of Variation and PDE |
| 2014 | SCI, SCIE, SSCI, A&HCI | David Kalaj | On J. C. C. Nitsche's type inequality for hyperbolic space | Potential Analysis |
| 2014 | SCI, SCIE, SSCI, A&HCI | David Kalaj, Saminathan Ponnusamy, Matti Vuorinen, | Radius of close-to-convexity of harmonic functions | Complex Variables and Elliptic Equations |
| 2014 | SCI, SCIE, SSCI, A&HCI | David Kalaj, Saminathan Ponnusamy, | POLYHARMONIC MAINGS AND J. C. C. NITSCHE TYPE INEQUALITIES | Glasnik Matematicki |
| 2014 | SCI, SCIE, SSCI, A&HCI | David Kalaj, Marijan Markovic, | Norm of the Bergman projection | Mathematica scandinavica |
| 2013 | SCI, SCIE, SSCI, A&HCI | David Kalaj, Marijan Markovic, Miodrag Mateljevic | Charatheodory and Smirnov type theorem for harmonic maings | Annales Academiae Scientiarum Fennicae Mathematica |
| 2013 | SCI, SCIE, SSCI, A&HCI | David Kalaj, Marijan Markovic, | Norm of the Bergman projection | Mathematical Reports |
| 2013 | SCI, SCIE, SSCI, A&HCI | David Kalaj | The Gauss map of a harmonic surface | Indag. Math., New Ser |
| 2013 | SCI, SCIE, SSCI, A&HCI | David Kalaj, Djordjije Vujadinovic | Adjoint operator of Bergman projection and the Besov space $B_1 | Mathematical Reports |
| 2013 | SCI, SCIE, SSCI, A&HCI | David Kalaj | On quasiconformal harmonic surfaces | International Mathematics Research Notices |
| 2013 | SCI, SCIE, SSCI, A&HCI | David Kalaj | On quasi-conformal self-maings of the unit disc and elliptic PDEs in the plane | Proceedings of the Royal Society of Edinburgh: Section A Mathematics. |
| 2013 | SCI, SCIE, SSCI, A&HCI | David Kalaj, Noam D. Elkies | On real part theorem for the higher derivatives of analytic functions in the unit disk | Computional Methods and Function Theory |
| 2013 | SCI, SCIE, SSCI, A&HCI | David Kalaj, | Radial extension of a bi-Lipschitz parametrization of a starlike Jordan curve | Complex Variables and Elliptic Equations |
| 2013 | SCI, SCIE, SSCI, A&HCI | David Kalaj | A priori estimate of gradient of a solution to certain differential inequality and quasiconformal maings | Journal d'Analyse Mathématique |
| 2013 | SCI, SCIE, SSCI, A&HCI | David Kalaj, Marijan Markovic, | Optimal Estimates for the Gradient of Harmonic Functions in the Unit Disk | Positivity |
| 2012 | SCI, SCIE, SSCI, A&HCI | David Kalaj, Matti Vuorinen | On harmonic functions and the Schwarz lemma | Proceedings of American Mathematical Society |
| 2012 | SCI, SCIE, SSCI, A&HCI | David Kalaj | On boundary correspondence under quasiconformal harmonic maings between smooth Jordan domains | Mathematische Nachrichten |
| 2012 | SCI, SCIE, SSCI, A&HCI | David Kalaj | Quasiconformal harmonic maings between $\,\mathscr C^{1,\mu}$ Euclidean surfaces | Monatshefte für Mathematik |
| 2012 | SCI, SCIE, SSCI, A&HCI | David Kalaj | Cauchy transform and Poisson's equation | Advances in mathematics |
| 2012 | SCI, SCIE, SSCI, A&HCI | David Kalaj | On Some Integral Operators Related to the Poisson Equation | Integral Equations and Operator Theory |
| 2012 | SCI, SCIE, SSCI, A&HCI | David Kalaj | On Kellogg's theorem for quasiconformal maings | Glasgow Mathematical Journal |
| 2012 | SCI, SCIE, SSCI, A&HCI | David Kalaj | Stolz angle limit of a certain class of self-maings of the unit disk | Journal of Aroximation Theory |
| 2012 | SCI, SCIE, SSCI, A&HCI | D. Kalaj, M. Mateljevic, | $(K,K')$-quasiconformal harmonic maings | Potential analysis |
| 2011 | SCI, SCIE, SSCI, A&HCI | David Kalaj | Invertible harmonic maings beyond Kneser theorem and quasiconformal harmonic maings | Studia mathematica |
| 2011 | SCI, SCIE, SSCI, A&HCI | D. Kalaj M. Mateljevic, | On Quasiconformal Harmonic Surfaces with Rectifiable Boundary | Complex Analysis and Operator Theory |
| 2011 | SCI, SCIE, SSCI, A&HCI | D. Kalaj, M. Mateljevic | On certain nonlinear elliptic PDE and quasiconfomal mas between Euclidean surfaces | Potential analysis |
| 2011 | SCI, SCIE, SSCI, A&HCI | D. Kalaj | Harmonic maings and distance function | Annali della Scuola Normale Superiore di Pisa, Classe di Scienze |
| 2011 | SCI, SCIE, SSCI, A&HCI | David Kalaj, Miroslav Pavlović, | On quasiconformal self-maings of the unit disk satisfying Poisson's equation | Transactions of the American Mathematical Society |
| 2011 | SCI, SCIE, SSCI, A&HCI | D. Kalaj, | On isoperimetric inequality for the polydisk, | Annali di Matematica Pura ed Alicata |
| 2011 | SCI, SCIE, SSCI, A&HCI | David Kalaj, | Harmonic maps between annuli on Riemann surfaces | Israel journal of mathematics |
| 2011 | SCI, SCIE, SSCI, A&HCI | D. Kalaj, R. Meštrović, | Isoperimetric type inequalities for harmonic functions | Journal of Mathematical Analysis and Alications |
| 2011 | SCI, SCIE, SSCI, A&HCI | B. A. Bhayo, V. Bozin, D. Kalaj, M. Vuorinen, | Norm inequalities for vector functions | Journal of Mathematical Analysis and Alications |
| 2011 | SCI, SCIE, SSCI, A&HCI | D. Kalaj, | On the quasiconformal self-maings of the unit ball satisfying the Poisson differential equation | Annales Academiae Scientiarum Fennicae Mathematica |
| 2011 | SCI, SCIE, SSCI, A&HCI | D. Kalaj | Estimates of gradient and of Jacobian of harmonic maings defined in the unit disk | Proceedings of American Mathematical Society |
| 2011 | SCI, SCIE, SSCI, A&HCI | David Kalaj, Vesna Manojlovic, | Subharmonicity of the Modulus of Quasiregular Harmonic | Journal of Mathematical Analysis and Alications |
| 2011 | SCI, SCIE, SSCI, A&HCI | David Kalaj, Marijan Markovic, | Optimal Estimates for the Gradient of Harmonic Functions in the Unit Disk | Complex Analysis and Operator Theory |
| 2011 | SCI, SCIE, SSCI, A&HCI | D. Kalaj | Quasiconformal harmonic maings and close to convex domains | Filomat |
| 2010 | SCI, SCIE, SSCI, A&HCI | D. Kalaj, M. Mateljevic, | On absolutely conformal maings, (), | Publicationes Mathematicae Debrecen |
| 2010 | SCI, SCIE, SSCI, A&HCI | Romeo Meštrović, David Kalaj, | A converse of Minkowski's Type Inequalities | Journal of Inequalities and Alications |
| 2010 | SCI, SCIE, SSCI, A&HCI | D. Kalaj, M. Mateljevic | On conformal, harmonic maings and dirichlet's integral | Filomat |
| 2010 | SCI, SCIE, SSCI, A&HCI | D. Kalaj, | On an integral inequality and alication to Poisson equation | Alied Mathematics Letters |
| 2010 | SCI, SCIE, SSCI, A&HCI | David Kalaj, | On quasiregular maings between smooth Jordan domains | Journal of Mathematical Analysis and Alications |
| 2010 | SCI, SCIE, SSCI, A&HCI | D. Kalaj, M. Mateljevic, | Harmonic q.c. self-maing and M\"obius transformations of the unit ball $B^n$ | Pacific Journal of Mathematics |
| 2009 | SCI, SCIE, SSCI, A&HCI | David Kalaj | Lipschitz spaces and harmonic maings | Annales academiae scientiarum fennicae-mathematica |
| 2008 | SCI, SCIE, SSCI, A&HCI | David Kalaj | On harmonic quasiconformal self-maings of the unit ball | Annales academiae scientiarum fennicae-mathematica |
| 2008 | SCI, SCIE, SSCI, A&HCI | David Kalaj, Miroslav Pavlovic, | Boundary correspondence under harmonic quasiconformal homeomorfisms of a half-plane | Annales academiae scientiarum fennicae-mathematica |
| 2008 | SCI, SCIE, SSCI, A&HCI | David Kalaj | Quasiconformal and harmonic maings between Jordan domains | Mathematische zeitschrift |
| 2007 | SCI, SCIE, SSCI, A&HCI | David Kalaj | On the univalent solution of PDE \Delta u=f between spherical annuli | Journal of Mathematical Analysis and Alications |
| 2006 | SCI, SCIE, SSCI, A&HCI | David Kalaj, Miodrag Mateljevic, | Inner estimate and quasiconformal harmonic maps between smooth domains | Journal d analyse mathematique |
| 2005 | SCI, SCIE, SSCI, A&HCI | David Kalaj, | On the Nitsche conjecture for harmonic maings in $\Bbb R^2$ and $\Bbb R^3$ | Israel journal of mathematics |
| 2004 | SCI, SCIE, SSCI, A&HCI | D. Kalaj, | Quasiconformal harmonic functions between convex domains | Publications de l’Institut Mathématique. Nouvelle Série |
| 2003 | SCI, SCIE, SSCI, A&HCI | D. Kalaj | On harmonic diffeomorphisms of the unit disc onto a convex domain | Complex Variables and Elliptic Equations |
| 2001 | SCI, SCIE, SSCI, A&HCI | D. Kalaj, | Univalent harmonic maings between Jordan domains | Publications de l’Institut Mathématique. Nouvelle Série |