Exceptional sets for functions from the weighted Bergman spaces in the ball

• Autorzy: Jakóbczak P.
• Języki publikacji: EN

Abstrakty

EN

In this note we study the behaviour of holomorphic functions in the unit ball BN in CN on one-dimensional complex subspaces of CN . The behaviour of functions is described in terms of L2-integrability with weights on the sets L D BN, where L runs over different families E of one-dimensional complex subspaces of CN .

Słowa kluczowe

EN

Bergman spaces; homogeneous polynomials; noninterable functions

PL

przestrzeń Bergmana

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2003
• Tom: Vol. 36, nr 1
• Strony: 83--92
• Opis fizyczny: Bibliogr. 3 poz.

Twórcy

autor

Jakóbczak P.

• Institute of Mathematics, Technical University, ul. Warszawska 24, 31-155 Kraków, Poland
• Institute of Mathematics, Jagellonian University, ul. Reymonta 4, 30-059 31-155 Kraków, Poland

Bibliografia

• [1] P. Jakóbczak, Highly nonintegrable functions in the unit ball, Israel J. Math. 97 (1997), 175-181.
• [2] P. Jakóbczak, Exceptional sets of slices for functions from the Bergman space in the ball, Canad. Math. Bull. 44, (2001), 150-159.
• [3] P. Wojtaszczyk, On highly nonintegrable functions and homogeneous polynomials, Ann. Polon. Math. 65 (1997), 245-251.