%0 Journal Article %T ON SOME PROPERTIES OF HOLOMORPHIC SPACES BASED ON BERGMAN METRIC BALL AND LUZIN AREA OPERATOR %A SHAMOYAN , ROMI F. %A MIHIĆ, OLIVERA R. %J Journal of Nonlinear Sciences and Applications %D 2009 %V 2 %N 3 %@ ISSN 2008-1901 %F SHAMOYAN 2009 %X 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. %9 journal article %R 10.22436/jnsa.002.03.07 %U http://dx.doi.org/10.22436/jnsa.002.03.07 %P 183-194 %0 Book %T Function Theory in the Ball, in Several Complex Variables II %A A. V. Aleksandrov %D 1994 %I Springer- Verlag %C New York %F Aleksandrov1994 %0 Journal Article %T Carleson measures on spaces of Hardy-Sobolev type %A C. Cascante %A J. Ortega %J Canad. J. Math. %D 1995 %V 47(6) %F Cascante1995 %0 Journal Article %T On q - Carleson measures for spaces of \(M\)- harmonic functions %A C. Cascante %A J. Ortega %J Canad. J. Math. %D 1997 %V 49 (4) %F Cascante1997 %0 Journal Article %T Imbedding potentials in tent spaces %A C. Cascante %A J. Ortega %J J. Funct. Anal. %D 2003 %V 1 %F Cascante2003 %0 Journal Article %T Generalized area operator on Hardy spaces %A W. Cohn %J Journal of Mathematical Analysis and Applications %D 1997 %V 216 %F Cohn1997 %0 Journal Article %T Integral inequalities between conjugate pluriharmonic functions in multydimensional domains %A A. E. Djrbashian %A A. O. Karapetyan %J Izvestia Acad Nauk Armenii %D 1988 %V %F Djrbashian1988 %0 Book %T Topics in the Theory of \(A^p_\alpha\) Spaces %A A. E. Djrbashian %A F. A. Shamoian %D 1988 %I Leipzig %C Teubner %F Djrbashian1988 %0 Journal Article %T Hardy's inequality and embeddings in holomorphic Triebel- Lizorkin spaces %A J. Ortega %A J. Fàbrega %J Illinois J. Math. %D 1999 %V 43 (4) %F Ortega1999 %0 Journal Article %T Holomorphic Triebel-Lizorkin spaces %A J. Ortega %A J. Fàbrega %J J. Funct. Anal. %D 1997 %V 151(1) %F Ortega1997 %0 Book %T Function Theory in the Unit Ball of \(\mathbb{C}^{n}\) %A W. Rudin %D 1980 %I Seria Matematika, VINITI %C New York %F Rudin1980 %0 Book %T Hardy classes and related spaces of analytik functions in the unit disk, polydisc and unit ball %A S. V. Shvedenko %D 1985 %I Seria Matematika, VINITI %C Russian %F Shvedenko1985 %0 Journal Article %T Area operator on Bergman space %A Z. Wu %J Sci. in China, Ser A. %D 2006 %V 49 %F Wu2006 %0 Book %T Spaces of Holomorphic Functions in the Unit Ball %A K. Zhu %D 2005 %I Graduate Texts in Mathematics, Springer-Verlag %C New York %F Zhu2005