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## Avetisyan, Karen L.

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 Author ID: avetisyan.karen-l Published as: Avetisyan, K. L.; Avetisyan, Karen; Avetisyan, Karen L.; Avetisyan, K. External Links: MGP
 Documents Indexed: 35 Publications since 1994
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#### Co-Authors

 20 single-authored 4 Stević, Stevo 3 Gürlebeck, Klaus 2 Petrosyan, Albert I. 2 Shamoyan, Romi F. 2 Tonoyan, Ye. G. 1 Gapoyan, N. T. 1 Mihic, Olivera R. 1 Morais, João Pedro 1 Pavlović, Miroslav 1 Sprößig, Wolfgang
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#### Serials

 12 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 2 Journal of Mathematical Analysis and Applications 2 Mathematical Methods in the Applied Sciences 2 Applied Mathematics and Computation 2 Journal of Computational Analysis and Applications 1 Mathematical Notes 1 Commentationes Mathematicae Universitatis Carolinae 1 Glasgow Mathematical Journal 1 Journal of the Korean Mathematical Society 1 Matematički Vesnik 1 Complex Variables. Theory and Application 1 Potential Analysis 1 Advances in Applied Clifford Algebras 1 Lobachevskii Journal of Mathematics 1 Computational Methods and Function Theory 1 The Australian Journal of Mathematical Analysis and Applications 1 Complex Variables and Elliptic Equations 1 Armenian Journal of Mathematics 1 Proceedings of the Yerevan State University. Physical and Mathematical Sciences
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#### Fields

 14 Potential theory (31-XX) 14 Several complex variables and analytic spaces (32-XX) 13 Functions of a complex variable (30-XX) 8 Functional analysis (46-XX) 5 Real functions (26-XX) 5 Operator theory (47-XX) 2 Harmonic analysis on Euclidean spaces (42-XX)

#### Citations contained in zbMATH Open

22 Publications have been cited 127 times in 90 Documents Cited by Year
Hardy-Bloch type spaces and lacunary series on the polydisk. Zbl 1123.32004
Avetisyan, K. L.
2007
Extended Cesàro operators between different Hardy spaces. Zbl 1163.32004
Avetisyan, Karen; Stević, Stevo
2009
Continuous inclusions and Bergman type operators in $$n$$-harmonic mixed norm spaces on the polydisc. Zbl 1054.32019
Avetisyan, K. L.
2004
Weighted integrals and Bloch spaces of $$n$$-harmonic functions on the polydisc. Zbl 1160.32028
Avetisyan, K. L.
2008
On Riesz systems of harmonic conjugates in $$\mathbb R^3$$. Zbl 1309.30044
Morais, J.; Avetisyan, K.; Gürlebeck, K.
2013
Fractional integro-differentiation in harmonic mixed norm spaces on a half-space. Zbl 1090.31500
Avetisyan, K. L.
2001
Harmonic conjugates in weighted Bergman spaces of quaternion-valued functions. Zbl 1184.30041
Avetisyan, Karen; Gürlebeck, Klaus; Sprössig, Wolfgang
2009
Integral representations in general weighted Bergman spaces. Zbl 1089.30037
Avetisyan, K. L.
2005
Inequalities of Littlewood-Paley type for $$n$$-harmonic functions on the polydisk. Zbl 1062.31005
Avetisyan, K. L.
2004
Subharmonicity and a version of Riesz theorem on harmonic conjugates. Zbl 1307.30088
Avetisyan, Karen
2014
On the fractional integro-differentiation operator in $$\mathbb{R}^n$$. Zbl 1337.31010
Avetisyan, K. L.; Tonoyan, Y. G.
2015
Bergman type operators on mixed norm spaces over the ball in $$\mathbb{C}^n$$. Zbl 1369.47044
Avetisyan, K. L.; Gapoyan, N. T.
2016
A note on mixed norm spaces of analytic functions. Zbl 1251.30065
Avetisyan, Karen
2012
Equivalent conditions for Bergman space and Littlewood-Paley type inequalities. Zbl 1124.32005
Avetisyan, Karen; Stević, Stevo
2007
Littlewood-Paley inequalities in uniformly convex and uniformly smooth Banach spaces. Zbl 1213.42060
Avetisyan, Karen; Djordjević, Olivera; Pavlović, Miroslav
2007
Continuous embeddings in harmonic mixed norm spaces on the unit ball in $$\mathbb{R}^n$$. Zbl 1257.31003
Avetisyan, K.; Tonoyan, Y.
2012
The generalized Libera transform is bounded on the Besov mixed-norm, BMOA and VMOA spaces on the unit disc. Zbl 1167.30325
Avetisyan, Karen; Stević, Stevo
2009
Sharp inclusions and lacunary series in mixed-norm spaces on the polydisc. Zbl 1266.32005
Avetisyan, K. L.
2013
On representations of some classes of functions subharmonic in the unit disk and in the half-plane. Zbl 0834.31001
Avetisyan, K. L.
1994
Weighted spaces of harmonic and holomorphic functions. Thesis. Zbl 1433.32004
Avetisyan, Karen
2009
Normal weighted Bergman type operators on mixed norm spaces over the ball in $$\mathbb{C}^n$$. Zbl 06898103
Avetisyan, Karen L.; Petrosyan, Albert I.
2018
Lacunary series and sharp estimates in weighted spaces of holomorphic functions. Zbl 1155.30017
Avetisyan, Karen L.
2007
Normal weighted Bergman type operators on mixed norm spaces over the ball in $$\mathbb{C}^n$$. Zbl 06898103
Avetisyan, Karen L.; Petrosyan, Albert I.
2018
Bergman type operators on mixed norm spaces over the ball in $$\mathbb{C}^n$$. Zbl 1369.47044
Avetisyan, K. L.; Gapoyan, N. T.
2016
On the fractional integro-differentiation operator in $$\mathbb{R}^n$$. Zbl 1337.31010
Avetisyan, K. L.; Tonoyan, Y. G.
2015
Subharmonicity and a version of Riesz theorem on harmonic conjugates. Zbl 1307.30088
Avetisyan, Karen
2014
On Riesz systems of harmonic conjugates in $$\mathbb R^3$$. Zbl 1309.30044
Morais, J.; Avetisyan, K.; Gürlebeck, K.
2013
Sharp inclusions and lacunary series in mixed-norm spaces on the polydisc. Zbl 1266.32005
Avetisyan, K. L.
2013
A note on mixed norm spaces of analytic functions. Zbl 1251.30065
Avetisyan, Karen
2012
Continuous embeddings in harmonic mixed norm spaces on the unit ball in $$\mathbb{R}^n$$. Zbl 1257.31003
Avetisyan, K.; Tonoyan, Y.
2012
Extended Cesàro operators between different Hardy spaces. Zbl 1163.32004
Avetisyan, Karen; Stević, Stevo
2009
Harmonic conjugates in weighted Bergman spaces of quaternion-valued functions. Zbl 1184.30041
Avetisyan, Karen; Gürlebeck, Klaus; Sprössig, Wolfgang
2009
The generalized Libera transform is bounded on the Besov mixed-norm, BMOA and VMOA spaces on the unit disc. Zbl 1167.30325
Avetisyan, Karen; Stević, Stevo
2009
Weighted spaces of harmonic and holomorphic functions. Thesis. Zbl 1433.32004
Avetisyan, Karen
2009
Weighted integrals and Bloch spaces of $$n$$-harmonic functions on the polydisc. Zbl 1160.32028
Avetisyan, K. L.
2008
Hardy-Bloch type spaces and lacunary series on the polydisk. Zbl 1123.32004
Avetisyan, K. L.
2007
Equivalent conditions for Bergman space and Littlewood-Paley type inequalities. Zbl 1124.32005
Avetisyan, Karen; Stević, Stevo
2007
Littlewood-Paley inequalities in uniformly convex and uniformly smooth Banach spaces. Zbl 1213.42060
Avetisyan, Karen; Djordjević, Olivera; Pavlović, Miroslav
2007
Lacunary series and sharp estimates in weighted spaces of holomorphic functions. Zbl 1155.30017
Avetisyan, Karen L.
2007
Integral representations in general weighted Bergman spaces. Zbl 1089.30037
Avetisyan, K. L.
2005
Continuous inclusions and Bergman type operators in $$n$$-harmonic mixed norm spaces on the polydisc. Zbl 1054.32019
Avetisyan, K. L.
2004
Inequalities of Littlewood-Paley type for $$n$$-harmonic functions on the polydisk. Zbl 1062.31005
Avetisyan, K. L.
2004
Fractional integro-differentiation in harmonic mixed norm spaces on a half-space. Zbl 1090.31500
Avetisyan, K. L.
2001
On representations of some classes of functions subharmonic in the unit disk and in the half-plane. Zbl 0834.31001
Avetisyan, K. L.
1994
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#### Cited by 52 Authors

 42 Stević, Stevo 15 Avetisyan, Karen L. 12 Li, Songxiao 3 Ahmed, Ahmed El-Sayed 3 Liang, Yuxia 3 Morais, João Pedro 3 Ueki, Sei-ichiro 3 Zhou, Zehua 2 Gürlebeck, Klaus 2 Hu, Bingyang 2 Sehba, Benoit Florent 2 Shamoyan, Romi F. 2 Shehu, Yekini 2 Sprößig, Wolfgang 2 Tonoyan, Ye. G. 2 Yang, Weifeng 1 Arévalo, Irina 1 Bekolle, David 1 Bryukhov, Dmitry 1 Catto, Sultan 1 Chen, Cui 1 Chen, Renyu 1 Delgado, Briceyda B. 1 Dominguez, Salvador 1 Fan, Xingya 1 Gapoyan, N. T. 1 Girela, Daniel 1 Gonessa, Jocelyn 1 Gu, Dinggui 1 Jiang, Zhijie 1 Kamal, Alaa 1 Kheyfits, Alexander I. 1 Kou, Kit-Ian 1 Krantz, Steven George 1 Krishan, Ram 1 Liu, Yongmin 1 Lu, Yufeng 1 Maksakov, Seraphim P. 1 Mihic, Olivera R. 1 Naik, Sunanda 1 Nath, Pankaj Kumar 1 Ogbuisi, Ferdinard Udochukwu 1 Pau, Jordi 1 Petrosyan, Albert I. 1 Porter, R. Michael 1 Qian, Ruishen 1 Shi, Yecheng 1 Tepper, David E. 1 Wick, Brett D. 1 Yassen, Taha Ibrahim 1 Yu, Yanyan 1 Zhu, Xiangling
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#### Cited in 30 Serials

 29 Applied Mathematics and Computation 8 Abstract and Applied Analysis 7 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 4 Complex Variables and Elliptic Equations 3 Journal of Mathematical Analysis and Applications 3 Advances in Applied Clifford Algebras 3 Journal of Inequalities and Applications 2 Mathematical Methods in the Applied Sciences 2 Glasgow Mathematical Journal 2 Journal of Functional Analysis 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Numerical Functional Analysis and Optimization 2 Discrete Dynamics in Nature and Society 1 Journal of the Korean Mathematical Society 1 Mathematische Nachrichten 1 Results in Mathematics 1 Siberian Mathematical Journal 1 Potential Analysis 1 Georgian Mathematical Journal 1 Bulletin des Sciences Mathématiques 1 Journal of Applied Analysis 1 Lobachevskii Journal of Mathematics 1 Computational Methods and Function Theory 1 Journal of Function Spaces and Applications 1 Mediterranean Journal of Mathematics 1 Cubo 1 Communications in Mathematics 1 Journal of Function Spaces 1 European Journal of Mathematics 1 Journal of Nonlinear and Variational Analysis
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#### Cited in 14 Fields

 42 Operator theory (47-XX) 39 Functions of a complex variable (30-XX) 34 Several complex variables and analytic spaces (32-XX) 26 Functional analysis (46-XX) 7 Potential theory (31-XX) 7 Integral equations (45-XX) 2 Real functions (26-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Numerical analysis (65-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Partial differential equations (35-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX)