ON SOME PROPERTIES OF HOLOMORPHIC SPACES BASED ON BERGMAN METRIC BALL AND LUZIN AREA OPERATOR
Journal of nonlinear sciences and its applications, Tome 2 (2009) no. 3, p. 183-194.

Voir la notice de l'article provenant de la source International Scientific Research Publications

We provide new estimates and embedding theorems for holomorphic spaces in the unit ball defined with the help of Bergman metric ball and Luzin area operator. We also study the boundedness of integral operators similar to classical Bergman projections on spaces of mentioned type.
DOI : 10.22436/jnsa.002.03.07
Classification : 32A18
Keywords: weighted Bergman space, Hardy space, inequality, Bergman metric ball.

SHAMOYAN , ROMI F. 1 ; MIHIĆ, OLIVERA R. 2

1 Bryansk University, Bryansk, Russia
2 Fakultet organizacionih nauka, Jove Ilića 154, Belgrade, Serbia
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SHAMOYAN , ROMI F.; MIHIĆ,  OLIVERA R. ON SOME PROPERTIES OF HOLOMORPHIC SPACES BASED ON BERGMAN METRIC BALL AND LUZIN AREA OPERATOR. Journal of nonlinear sciences and its applications, Tome 2 (2009) no. 3, p. 183-194. doi : 10.22436/jnsa.002.03.07. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.002.03.07/

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