Polski Related publications
Publications 2025-2021
- , On Extremal Functions and V. Markov Type Polynomial Inequality for Certain Subsets of \(\mathbb{R}^N\), Constructive Approximation, 60:135-163 (2024).
- , Sharp Lp Bernstein type inequalities for certain cuspidal domains, Dolomites Research Notes on Approximation, 17:127-133 (2024).
- , Around some extremal problems for multivariate polynomials, Dolomites Research Notes on Approximation, 17:114-126 (2024).
- , Note on admissible meshes on ball and simplex via Dubiner metric, Dolomites Research Notes on Approximation, 17:89-96 (2024).
- , Evaluating Lebesgue constants by Chebyshev polynomial meshes on cube, simplex and ball, Electronic Transactions on Numerical Analysis, 60:428–445 (2024).
- , Markov and Division Inequalities on Algebraic Sets, Results in mathematics, 79:135-157 (2024).
- , Chebyshev admissible meshes and Lebesgue constants of complex polynomial projections, Journal of Computational and Applied Mathematics, 443:115766 (2024).
- , On the Hurwitz stability of noninteger Hadamard powers of stable polynomials, Linear Algebra and Its Applications, 683:111-124 (2024).
- , Kolmogorov and Markov type inequalities on certain algebraic varieties, Analysis Mathematica, 49:681-697 (2023).
- , On certain weighted Schur type inequalities, Science, Technology and Innovation, 16:42-49, (2022).
- , Lp Markov exponent of certain UPC sets, Dolomites Research Notes on Approximation, 14:7-15 (2021).
- , Bernstein - Chebyshev inequality and Baran’s radial extremal function on algebraic sets, Dolomites Research Notes on Approximation, 14:16-26 (2021).
Publications 2020-2016
- , Selected open problems in potential approximation and potential theory, Dolomites Research Notes on Approximation 13:12-19 (2020).
- , Compact vectorial Toeplitz operators on the Segal-Bargmann space, Journal of Mathematical Analysis and Applications, 481:123460 (2020).
- , On the behaviour of constants in some polynomial inequalities, Annales Polonici Mathematici, 123:43-60 (2019).
- , Equivalence of the global and local Markov inequalities in the complex plane, Advances in Mathematics, 345:909-927 (2019).
- , On Lagrange polynomials and the rate of approximation of planar sets by polynomial Julia sets, Journal of Mathematical Analysis and Applications, 464:507-530 (2018).
- , Polynomial inequalities on certain algebraic hypersurfaces, Journal of Mathematical Analysis and Applications, 459:822-838 (2018).
- , Markov's inequality and \(\mathbb{C}^{\infty}\) functions on algebraic sets, Cornell University (2017).
- , Selected open problems in potential approximation and potential theory, Dolomites Research Notes on Approximation, 10:161-168 (2017).
- , \( \mathcal{L}^p \) boundedness of the Bergman projection on some generalized Hartogs triangles, Iranian Mathematical Society (IMS), 43:2275-2280 (2017).
- , Comments on ‘On Hadamard powers of polynomials’, Mathematics of Control, Signals, and Systems , 29:16 (2017).
- , Explicit formulas of the Bergman kernel for some Reinhardt domains, The Journal of Geometric Analysis 26:2883-2892 (2016).
- , Lu Qi-Keng’s problem for intersection of two complex ellipsoids, Complex Analysis and Operator Theory 10:943-951 (2016).
- , Jackson’s inequality in the complex plane and the Łojasiewicz–Siciak inequality of Green’s function, Journal of Approximation Theory, 207:46-59 (2016).
- , Invariance of polynomial inequalities under polynomial maps, Journal of Mathematical Analysis and Applications, 439:449-464 (2016).
- , Homogeneous minimal polynomials with prescribed interpolation conditions, Transactions of the American Mathematical Society, 368:8383-8402 (2016).
Publications 2015-2011
- , Identities for a derivation operator and their applications, Dolomites Research Notes on Approximation, 8:102-110 (2015).
- , Identities for a derivation operator and their applications, Dolomites Research Notes on Approximation, 8:102-110 (2015).
- , An explicit computation of the Bergman kernel function, Complex Variables and Elliptic Equations 60:1058-1067 (2015).
- , Global and Local Markov Inequalities in the Complex Plane, Dolomites Research Notes on Approximation, 7:34-38 (2014).
- , Holder Continuity of the Green Function and Markov Brothers Inequality, Constructive Approximation, 40:121-140 (2014).
- , Sets with the Bernstein and generalized Markov properties, Annales Polonici Mathematici, 111:259-270 (2014).
- , Equivalence of the Local Markov Inequality and a Kolmogorov Type Inequality in the Complex Plane, Potential Analysis, 38:299-317 (2013).
- , On the Best Exponent in Markov Inequality, Potential Analysis, 38:635-651 (2013).
- , Siciak’s extremal function via Bernstein and Markov constants for compact sets in \(\mathbb{C}^N\), Annales Polonici Mathematici, 106:41-51 (2012).
- , Markov's property for kth derivative, Annales Polonici Mathematici, 106:31-40 (2012).
- , Product property for capacities in \(\mathbb{C}^N\), Annales Polonici Mathematici, 106:19-29 (2012).
- , Pseudo Leja sequences, Annali di Matematica Pura ed Applicata, 191:53-75 (2012).
- , Smoothness of Green's functions and Markov-type inequalities, Banach Center Publications, 92:27-36 (2011).
- , How to construct totally disconnected Markov sets?, Annali di Matematica Pura ed Applicata vol. 190:209-224 (2011).
- , Iterated Function Systems and Łojasiewicz-Siciak Condition of Green's Function, Potential Analasis, 34:207-221 (2011).
Publications 2010-1980
- , Cauchy-Poisson transform and polynomial inequalities, Annales Polonici Mathematici, 95:199-206 (2009).
- , L-Regularity of Markov Sets and of m-Perfect Sets in the Complex Plane, Constructive Approximation, 27:237-252 (2008).
- , Transfinite diameter of Bernstein sets in \(\mathbb{C}^N\), Journal of Inequalities and Applications, 7:393-404 (2002).
- , Characterization of compact subsets of algebraic varieties in terms of Bernstein type inequalities, Studia Mathematica, 141:221-234 (2000).
- , Polynomial inequalities on algebraic sets, Studia Mathematica, 141:209-219 (2000).
- , Equivalence of Markov's and Schur's inequalities on compact subsets of the complex plane, J. Inequal. Appl., 3:45-49 (1999).
- , Markov sets in \(\mathbb{C}\) are not polar, Bull. Polish Acad. Sci. Math., 46:83-89 (1998).
- , Bernstein and van der Corput-Schaake type inequalities on semialgebraic curves, Studia Mathematica, 125:83-96 (1997).
- , Complex equilibrium measure and bernstein type theorems for compact sets in \(\mathbb{R}^n\), Proceedings of the American Mathematical Society, 123:485-494 (1995).
- , Markov's exponent of compact sets in \(\mathbb{R}^n\), Proceedings of the American Mathematical Society, 123:2785-2791 (1995).
- , Equivalence of Markov's property and Hölder continuity of the Green function for Cantor-type sets, East J. Approx., 1:249-253 (1995).
- , Bernstein type theorems for compact sets in \(\mathbb{C}^n\) revisited, Journal of Approximation Theory, 79:190-198 (1994).
- , Bernstein type theorems for compact sets in \(\mathbb{R}^n\), Journal of Approximation Theory, 69:156-166 (1992).
Organised conferences
- Constructive Approximation of Functions 4 (24th-29th June, 2024, Warsaw, Poland)
- Constructive Approximation of Functions 3 (22nd-24th February, 2023, Krakow)
- Constructive Approximation of Functions 2 (23rd-25th September, 2021, Online)
- Constructive Approximation of Functions (29th June - 5th July, 2014, Bedlewo)
Other Conferences
- The 3rd International Conference: Constructive Mathematical Analysis (ICCMA) (02-05 July, 2025, Konya, Turcja)
- Topics in Complex Dynamics 2025: Connections to Geometry and Analysis (02-06 June, 2025, Barcelona, Hiszpania)
- The 26th NORDAN conference in Complex Analysis (23-25 May, 2025, Hella, Islandia)
- Shanks Conference: Constructive Functions 2025 (19-22 May, 2025, Nashville, Tennessee, USA)