TY - JOUR AU - SHAMOYAN , ROMI F. AU - MIHIĆ, OLIVERA R. PY - 2009 TI - ON SOME PROPERTIES OF HOLOMORPHIC SPACES BASED ON BERGMAN METRIC BALL AND LUZIN AREA OPERATOR JO - Journal of Nonlinear Sciences and Applications SP - 183-194 VL - 2 IS - 3 AB - 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. SN - ISSN 2008-1901 UR - http://dx.doi.org/10.22436/jnsa.002.03.07 DO - 10.22436/jnsa.002.03.07 ID - SHAMOYAN 2009 ER - TY - BOOK TI - Function Theory in the Ball, in Several Complex Variables II AU - A. V. Aleksandrov PB - Springer- Verlag PY - 1994 DA - 1994// CY - New York ID - Aleksandrov1994 ER - TY - JOUR TI - Carleson measures on spaces of Hardy-Sobolev type AU - C. Cascante AU - J. Ortega JO - Canad. J. Math. PY - 1995 DA - 1995// VL - 47(6) ID - Cascante1995 ER - TY - JOUR TI - On q - Carleson measures for spaces of \(M\)- harmonic functions AU - C. Cascante AU - J. Ortega JO - Canad. J. Math. PY - 1997 DA - 1997// VL - 49 (4) ID - Cascante1997 ER - TY - JOUR TI - Imbedding potentials in tent spaces AU - C. Cascante AU - J. Ortega JO - J. Funct. Anal. PY - 2003 DA - 2003// VL - 1 ID - Cascante2003 ER - TY - JOUR TI - Generalized area operator on Hardy spaces AU - W. Cohn JO - Journal of Mathematical Analysis and Applications PY - 1997 DA - 1997// VL - 216 ID - Cohn1997 ER - TY - JOUR TI - Integral inequalities between conjugate pluriharmonic functions in multydimensional domains AU - A. E. Djrbashian AU - A. O. Karapetyan JO - Izvestia Acad Nauk Armenii PY - 1988 DA - 1988// VL - ID - Djrbashian1988 ER - TY - BOOK TI - Topics in the Theory of \(A^p_\alpha\) Spaces AU - A. E. Djrbashian AU - F. A. Shamoian PB - Leipzig PY - 1988 DA - 1988// CY - Teubner ID - Djrbashian1988 ER - TY - JOUR TI - Hardy's inequality and embeddings in holomorphic Triebel- Lizorkin spaces AU - J. Ortega AU - J. Fàbrega JO - Illinois J. Math. PY - 1999 DA - 1999// VL - 43 (4) ID - Ortega1999 ER - TY - JOUR TI - Holomorphic Triebel-Lizorkin spaces AU - J. Ortega AU - J. Fàbrega JO - J. Funct. Anal. PY - 1997 DA - 1997// VL - 151(1) ID - Ortega1997 ER - TY - BOOK TI - Function Theory in the Unit Ball of \(\mathbb{C}^{n}\) AU - W. Rudin PB - Seria Matematika, VINITI PY - 1980 DA - 1980// CY - New York ID - Rudin1980 ER - TY - BOOK TI - Hardy classes and related spaces of analytik functions in the unit disk, polydisc and unit ball AU - S. V. Shvedenko PB - Seria Matematika, VINITI PY - 1985 DA - 1985// CY - Russian ID - Shvedenko1985 ER - TY - JOUR TI - Area operator on Bergman space AU - Z. Wu JO - Sci. in China, Ser A. PY - 2006 DA - 2006// VL - 49 ID - Wu2006 ER - TY - BOOK TI - Spaces of Holomorphic Functions in the Unit Ball AU - K. Zhu PB - Graduate Texts in Mathematics, Springer-Verlag PY - 2005 DA - 2005// CY - New York ID - Zhu2005 ER -