On weighted harmonic Bergman spaces

• Autorzy: Petrosyan A.
• Języki publikacji: EN

Abstrakty

EN

This paper is devoted to the investigation of the weighted Bergman harmonic spaces bp/alpha(B] in the unit ball in Rn. The reproducing kernel Ralpha for the ball is constructed and the integral representation for functions in bp/alpha(B) by means of this kernel is obtained. Besides an linear mapping between the bp/alpha(B) spaces and the ordinary L2-space on the unit sphere, which has an explicit form of integral operator along with its inversion, is established.

Słowa kluczowe

EN

weighted spaces; harmonic functions; reproducing kernel; integral representation

PL

przestrzeń funkcji; funkcje harmoniczne; harmoniczne przestrzenie Bergmana

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2008
• Tom: Vol. 41, nr 1
• Strony: 73--83
• Opis fizyczny: Bibliogr. 3 poz.

Twórcy

autor

Petrosyan A.

• Faculty of Mathematics, Yerevan State University, 1 Aleck Manoogian street 375049 Yerevan, Armenia,

Bibliografia

• [1] Sh. Axler, P. Bourdon, W. Rarnsey, Harmonic Function Theory, Springer-Verlag New York, Inc., 2001.
• [2] M. M. Djrbashian, On the representabitity problem of analytic functions, Soobshch. Inst. Matem. i Mekh. AN Armenii 2 (1948), 3-40 (in Russian).
• [3] W. Rudin, Real and Complex Analysis, McGraw-Hiil, New York, 1987.