Exceptional sets for holomographic functions

• Autorzy: Jakóbczak P.
• Języki publikacji: EN

Abstrakty

EN

This is an expository note, cocncerning the properties of exceptional sets for functions from the Bergman space in domains in Cx.

Słowa kluczowe

EN

holomorphic functions; exceptional sets; Bergman space

PL

funkcje holomorficzne; zbiory szczególne; przestrzeń Bergmana

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka
• Rocznik: 2001
• Tom: z. 25 [190]
• Strony: 63--70
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Jakóbczak P.

• Instytut Matematyki, Politechnika Krakowska

Bibliografia

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• [3] P. Jakóbczak, The exceptional sets for functions from the Bergman space, Portugaliae Mathematica 50, No 1 (1993), 115 - 128
• [4] P. Jakóbczak, The exceptional sets for functions of the Bergman space in the unit ball, Rend. Mat. Acc. Lincei s.9, 4 (1993), 79 - 85
• [5] P.Jakóbczak, The exceptional sets for holomorphic functions in Hartogs domains, Complex Variables (Aachen) 32 (1997), 89 - 97
• [6] --, Descriptions of exceptional sets in the circles for functions from the Bergman space, Czechoslovak Mathematical Journal 47 (1997), 633 - 649
• [7] --, Highly nonintegrable functions in the unit ball, Israel Journal of Mathematics 97 (1997), 175-181
• [8] --, The exceptional subsets for functions in Cartesian products, Atti Sem. Mat. Fis. Univ. Modena 46 (1998), 289 - 300
• [9] --, Preimages of exceptional sets by biholomorphic mappings, Atti Sem. Mat. Fis. Univ. Modena 48 (2000), 91 - 98
• [10] --, Complete pluripolar sets and exceptional sets for functions from the Bergman space Complex Variables (Aachen) 42 (2000), 17 - 23
• [11] --, Exceptional sets of slices Jor functions from the Bergman space in the ball (preprint) 12
• [12] J. Janas, On a theorem of Lebow and Młak for several commuting operators, Studia Math. 76 (1983), 249 - 253
• [13] J. Siciak, Highly noncontinuable functions on polynomially convex sets, Zeszyty Naukowe UJ 25 (1985), 95 - 107
• [14] M. Skwarczyński, TheBergman function, biholomorphic invariants and the Laplace transform, Ann. Univ. M.Curie-Sklodowska Lublin 48 (1994), 120 - 161
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• [16] A. Zeriahi, Ensembles pluripolaires exceptionnels pour la croissance partielle des fonctions holomorphes, Ann. Polon. Math. 50 (1989), 81 - 91