prof. dr hab. Zbigniew Błocki
Jednostki:
- Wydział Matematyki i Informatyki UJ
- Instytut Matematyki
- Katedra Analizy Matematycznej
Profesura Otwarcie: 2007-11-29, Zamknięcie: 2009-02-11
Publikacje:
53.
On the pointwise Ohsawa–Takegoshi theorem, Complex Analysis and Its Synergies vol. 11 (2025),
52.
Rearrangements and the Monge–Ampère equations, Mathematische Zeitschrift vol. 308 (2024), article number 17
51.
50.
49.
Mats Andersson, Zbigniew Błocki, Elizabeth Wulcan
48.
47.
Suita Conjecture from the one-dimensional viewpoint vol. Trends in Mathematics, eds. M. Andersson, J. Boman, C. Kiselman, P. Kurasov, R. Sigurdsson (2017), "Analysis Meets Geometry: A Tribute to Mikael Passare", Springer Verlag (połaczony z Kluwer Academic Publishing)
46.
On the Suita Conjecture for Some Convex Ellipsoids in C^2, Experimental Mathematics vol. 25(1) (2016), 8-16
45.
44.
A lower bound for the Bergman kernel and the Bourgain-Milman inequality, Lecture Notes in Mathematics vol. 2116 (2014), 53-63
43.
Cauchy-Riemann meet Monge-Ampère, Bulletin of Mathematical Sciences vol. 4 (2014), 433-480
42.
Suita conjecture and the Ohsawa-Takegoshi extension theorem, Inventiones Mathematicae vol. 193 (2013), 149-158
41.
Squares of positive (p,p)-forms, Comptes Rendus Mathematique vol. 351 (2013), 27-32
40.
39.
The Calabi-Yau theorem, Lecture Notes in Mathematics vol. 2038 (2012), 201-227
38.
37.
On the product property for the transfinite diameter, Annales Polonici Mathematici vol. 101 (2011), 209-214
36.
35.
A note on maximal plurisubharmonic functions, Uzbek Mathematical Journal (2009), 28-32
34.
Remark on the definition of the complex Monge-Ampere operator, Contemporary Mathematics (2009), 17-21
33.
Some applications of the Ohsawa-Takegoshi extension theorem, Expositiones Mathematicae vol. 27 (2009), 125-135
32.
A gradient estimate in the Calabi-Yau theorem, Mathematische Annalen vol. 344 (2009), 317-327
31.
30.
29.
Some estimates for the Bergman kernel and metric in terms of logarithmic capacity, NAGOYA MATH. J. 185 (2007), 143--150
28.
A Bergman kernel in R^n, holomorphic functions, and related non-associative algebras, INTERNAT. J. MATH. 18 (2007), 1113-1132
27.
The domain of definition of the complex Monge-Ampère operator, AMER. J. MATH. 128 (2006), no. 2, 519--530
26.
Weak solutions to the complex Hessian equation, ANN. INST. FOURIER (GRENOBLE) 55 (2005), no. 5, 1735--1756
25.
On uniform estimate in Calabi-Yau theorem, SCI. CHINA SER. A 48 (2005), suppl., 244--247
24.
The Bergman metric and the pluricomplex Green function, TRANS. AMER. MATH. SOC. 357 (2005), no. 7, 2613--2625
23.
A note on the Hörmander, Donnelly-Fefferman, and Berndtsson $Lsp 2$-estimates for the $overlinepartial$-operator, ANN. POLON. MATH. 84 (2004), no. 1, 87--91
22.
On the definition of the Monge-Ampère operator in $Bbb Csp 2$, MATH. ANN. 328 (2004), no. 3, 415--423
21.
Regularity of the degenerate Monge-Ampère equation on compact Kähler manifolds, MATH. Z. 244 (2003), no. 1, 153-161
20.
Uniqueness and stability for the complex Monge-Ampère equation on compact Kähler manifolds, INDIANA UNIV. MATH. J. 52 (2003), no. 6, 1697--1701
19.
Interior regularity of the degenerate Monge-Ampère equation, BULL. AUSTRAL. MATH. SOC. 68 (2003), no. 1, 81--92
18.
On the Darboux equation, EFFECTIVE METHODS IN ALGEBRAIC AND ANALYTIC GEOMETRY, 2000 (Kraków). Univ. Iagel. Acta Math. No. 39 (2001), 87--90
17.
Regularity of the pluricomplex Green function with several poles, INDIANA UNIV. MATH. J. 50 (2001), no. 1, 335--351
16.
The C1,1 regularity of the pluricomplex Green function, MICHIGAN MATH. J. 47 (2000), no. 2, 211--215
15.
Interior regularity of the complex Monge-Ampere equation in convex domains, DUKE MATH. J. 105 (2000), no. 1, 167--181
14.
Equilibrium measure of a product subset of Cn, PROC. AMER. MATH. SOC. 128 (2000), no. 12, 3595--3599
13.
Zbigniew Błocki, P.Pflug
Hyperconvexity and Bergman completeness, NAGOYA MATH. J. 151 (1998), 221--225
12.
Zbigniew Błocki, J.Thorbiörnson
On the fundamental solution for the real Monge-Ampere operator, MATH. SCAND. 83 (1998), no. 2, 309--319
11.
On the regularity of the complex Monge-Ampere operator, COMPLEX GEOMETRIC ANALYSIS IN POHANG (1997), 181--189, Contemp. Math., 222, Amer. Math. Soc., Providence, RI, 1999
10.
Smooth exhaustion functions in convex domains, PROC. AMER. MATH. SOC. 125 (1997), no. 2, 477--484
9.
Zbigniew Błocki, Sławomir Kołodziej, N.Levenberg
Extremal functions and equilibrium measures for Borel sets, BULL. POLISH ACAD. SCI. MATH. 45 (1997), no. 3, 291--296
8.
The complex Monge-Ampere operator in hyperconvex domains, ANN. SCUOLA NORM. SUP. PISA CL. SCI. (4) 23 (1996), no. 4, 721--747 (1997)
7.
On the Lp stability for the complex Monge-Ampere operator, MICHIGAN MATH. J. 42 (1995), no. 2, 269--275
6.
Estimates for the complex Monge-Ampere operator, BULL. POLISH ACAD. SCI. MATH. 41 (1993), no. 2, 151--157 (1994)
5.
An elementary proof of the McCoy theorem, UNIV. IAGEL. ACTA MATH. no. 30 (1993), 215--218
4.
Singular sets of separately analytic functions, ANN. POLON. MATH. 56 (1992), no. 2, 219--225
3.
A constant in pluripotential theory, ANN. POLON. MATH. 56 (1992), no. 2, 213--217
2.
The Bergman kernel and pluripotential theory, POTENTIAL THEORY IN MATSUE, 2004, 1-9, Advanced Studies in Pure Mathematics, 44, Mathematical Society of Japan, Tokyo, 2006
1.
Regularity of the fundamental solution for the Monge-Ampere operator, PROGRESS IN PARTIAL DIFFERENTIAL EQUATIONS, VOL. 1 (Pont-a-Mousson, 1997), 40--45, Pitman Res. Notes Math. Ser., 383, Longman, Harlow, 1998
Doktoranci (po 27 października 2003 roku)
| Doktorant | Otwarcie | Zakonczenie |
|---|---|---|
| Szymon Plis | 2005-09-22 | 2007-09-27 |
| Żywomir Dinew | 2007-12-20 | 2010-09-30 |
| Dongwei Gu | 2016-04-28 | 2017-03-30 |
Recenzje (po 27 października 2003 roku)
| Recenzowany | Jednostka | Treść recenzji |
|---|---|---|
| Doktorat: Sławomir Dinew | Katedra Analizy Matematycznej | |
| Habilitacja: Rafał Czyż | Katedra Analizy Matematycznej | |
| Doktorat: Piotr Jucha | Katedra Analizy Matematycznej | |
| Habilitacja: Łukasz Kosiński | Katedra Analizy Matematycznej |
Granty (realizowane po maju 2009 roku)
| Tytuł | Rola | Rozpoczęcie | Zakończenie |
|---|---|---|---|
| Równania różniczkowe cząstkowe w analizie i geometrii zespolonej i wypukłej | Kierownik | 2024-06-19 | 2028-06-18 |
| Teoria pluripotencjału i dbar | Kierownik | 2014-04-14 | 2019-04-13 |
| Geometria i topologia w modelach fizycznych | Kierownik | 2010-08-16 | 2015-06-30 |
Nagrody
| Rok | Rodzaj | Rodzaj uhonorowanej działalności | Typ | |
|---|---|---|---|---|
| 2014 | nagroda | wybitny dorobek naukowy lub artystyczny | krajowa | Szczegóły |

