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:
47.
One dimensional estimates for the Bergman kernel and logarithmic capacity, P AM MATH SOC vol. 146 (2018), 2489-2495
46.
On the Suita Conjecture for Some Convex Ellipsoids in C^2, EXP MATH 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, INVENT MATH vol. 193 (2013), 149-158
41.
Squares of positive (p,p)-forms, CR MATH vol. 351 (2013), 27-32
40.
39.
The Calabi-Yau theorem, LECT NOTES MATH vol. 2038 (2012), 201-227
38.
37.
On the product property for the transfinite diameter, ANN POL MATH vol. 101 (2011), 209-214
36.
On the uniform estimate in the Calabi-Yau theorem, II, SCI CHINA SER A (2011), 1375-1377
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, EXPO MATH vol. 27 (2009), 125-135
32.
A gradient estimate in the Calabi-Yau theorem, MATH ANN 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 |
|---|---|---|---|
| Teoria pluripotencjału i dbar | Kierownik | 2014-04-14 | 2019-04-13 |
| Geometria i topologia w modelach fizycznych | Kierownik | 2010-08-16 | 2015-06-30 |