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Karapetyants, Nikolai K.

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Author ID: karapetyants.nikolai-k Recent zbMATH articles by "Karapetyants, Nikolai K."
Published as: Karapetyants, N. K.; Karapetjanc, N. K.; Karapetiants, N. K.; Karapetiants, Nikolai K.; Karapetyants, Nikolai K.; Karapetiants, N.; Karapetiants, Nicolai K.
External Links: Math-Net.Ru
Documents Indexed: 118 Publications since 1966, including 2 Books
1 Further Contribution
Reviewing Activity: 247 Reviews
Biographic References: 1 Publication
Co-Authors: 21 Co-Authors with 80 Joint Publications
398 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

52 Publications have been cited 246 times in 156 Documents Cited by Year
Equations with involutive operators. Zbl 0990.47011
Karapetiants, N.; Samko, Stefan
61
2001
Weighted theorems on fractional integrals in the generalized Hölder spaces via indices \(m_\omega\) and \(M_\omega\). Zbl 1114.26005
Karapetyants, Nikolai K.; Samko, Natasha
14
2004
Upper and lower bounds for solutions of nonlinear Volterra convolution integral equations with power nonlinearity. Zbl 0982.45003
Karapetyants, Nikolai K.; Kilbas, Anatoly A.; Saigo, Megumi; Samko, Stefan G.
12
2000
Fractional integrals and singular integrals in the Hölder classes of variable order. Zbl 0842.26006
Karapetyants, N. K.; Ginsburg, A. I.
12
1994
Fractional integrodifferentiation in Hölder classes of arbitrary order. Zbl 0820.26004
Karapetyants, N. K.; Ginzburg, A. I.
10
1995
Equations with involutive operators and their applications. (Uravneniya s involyutivnymi operatorami i ikh prilozheniya.) Zbl 0782.47011
Karapetyants, N. K.; Samko, S. G.
9
1988
Multidimensional integral operators with homogeneous kernels of degree \(-n\). Zbl 1044.47513
Avsyankin, O. G.; Karapetyants, N. K.
9
1999
Algebra of multidimensional integral operators with homogeneous kernels with varying coefficients. Zbl 1027.47040
Avsyankin, O. G.; Karapetyants, N. K.
7
2001
Multi-dimensional integral operators with homogeneous kernels. Zbl 1043.47509
Karapetiants, Nikolai K.; Samko, Stefan G.
7
1999
A convolution equation with power nonlinearity of negative order. Zbl 0770.45009
Karapetyants, N. K.; Yakubov, A. Ya.
6
1991
Fractional integrodifferentiation in Hölder classes of variable order. Zbl 0884.26006
Ginzburg, A. I.; Karapetyants, N. K.
6
1994
On the solution of nonlinear Volterra convolution equation with power nonlinearity. Zbl 0874.45002
Karapetyants, Nikolai K.; Kilbas, Anatoly A.; Saigo, Megumi
6
1996
On Fredholm properties of a class of Hankel operators. Zbl 0966.45010
Karapetiants, N. K.; Samko, S. G.
5
2000
Necessary conditions for the boundedness of an operator with nonnegative quasihomogeneous kernel. Zbl 0486.47019
Karapetyants, N. K.
5
1981
Projection method in the theory of integral operators with homogeneous kernels. Zbl 1110.47305
Avsyankin, O. G.; Karapetyants, N. K.
5
2004
Spherical hypersingular operators of imaginary order and their multipliers. Zbl 1072.47513
Vakulov, Boris G.; Karapetiants, Nikolai K.; Shankishvili, Lamara D.
5
2001
On discrete Wiener-Hopf operators with oscillating coefficients. Zbl 0234.47028
Karapetyants, N. K.; Samko, S. G.
4
1971
Singular integral operators on the axis with fractional linear shift and the Noether property of operators with involution. Zbl 0233.47036
Karapetyants, N. K.; Samko, S. G.
4
1972
Integral equations of convolution type with a power nonlinearity, and their systems. Zbl 0726.45006
Askhabov, S. N.; Karapetyants, N. K.; Yakubov, A. Ya.
4
1990
A class of nonlinear equations of convolution type. Zbl 0623.45014
Karapetyants, N. K.
3
1985
On a nonlinear equation of convolution type. Zbl 0607.45003
Askhabov, S. N.; Karapetyants, N. K.; Yakubov, A. Ya.
3
1986
Radial Riesz potentials on the disk and fractional integration operators. Zbl 0566.45020
Karapetjanc, N. K.; Rubin, B. S.
3
1982
On the functional equation \(\psi(x + \alpha) - b(x)\psi(x) = g(x)\). (Über die Funktionalgleichung \(\psi(x + \alpha) - b(x)\psi(x) = g(x)\).) Zbl 0205.15001
Karapetyants, N. K.; Samko, S. G.
3
1970
On the index of some classes of integral operators. Zbl 0214.12401
Karapetyants, N. K.; Samko, S. G.
3
1970
On the pseudospectra of multidimensional integral operators with homogeneous kernels of degree \(-n\). Zbl 1036.45001
Avsyankin, O. G.; Karapetyants, N. K.
3
2003
Discrete equations of convolution type with monotone nonlinearity. Zbl 0685.45003
Askhabov, S. N.; Karapetyants, N. K.
3
1989
On fractional integrals with limiting exponent. Zbl 0664.26003
Karapetyants, N. K.; Rubin, B. S.
2
1988
Discrete equations of convolution type with a monotone nonlinearity in complex spaces. Zbl 0834.47054
Askhabov, S. N.; Karapetyants, N. K.
2
1992
Singular integral equations with Carleman shift in the case of discontinuous coefficients, and the investigation of the Noetherian nature of a class of linear operators with involution. Zbl 0288.45011
Karapetjanc, N. K.; Samko, S. G.
2
1973
On multi-dimensional integral equations of convolution type with shift. Zbl 0987.47007
Karapetiants, N. K.; Samko, S. G.
2
2001
Spherical potentials of complex order in generalized weighted Hölder spaces. Zbl 1136.31307
Vakulov, B. G.; Karapetyants, N. K.; Shankishvili, L. D.
2
2002
Spherical convolution operators with a power-logarithmic kernel in generalized Hölder spaces. Zbl 1076.42010
Vakulov, B. G.; Karapetyants, N. K.; Shankishvili, L. D.
2
2003
Diskrete Gleichungen vom Faltungstyp in einem Ausnahmefall. Zbl 0199.21103
Karapetyants, N. K.
2
1970
A short proof of Hardy-Littlewood-type theorem for fractional integrals in weighted Hölder spaces. Zbl 1030.26007
Karapetiants, Nikolai K.; Shankishvili, Lamara D.
2
1999
On an isomorphism implemented by fractional integrals in generalized Hölder classes. Zbl 0745.26005
Karapetyants, N. K.; Murdaev, Kh. M.; Yakubov, A. Ya.
1
1990
On an isomorphism realized by fractional integrals in generalized Nikol’skij’s classes. Zbl 0810.26004
Karapetyants, N. K.; Murdaev, Kh. M.; Yakubov, A. Ya.
1
1992
Modulus of continuity of the convolution operators on a segment. Zbl 0772.26007
Karapetyants, N. K.
1
1992
Lebesgue points for fractional integral. Zbl 0842.26007
Karapetyants, Nikolai K.; Ginsburg, Anna I.
1
1995
Fractional integro-differentiation of the complex order in generalized Hölder spaces \(H_0^\omega([0,1],\rho)\). Zbl 1027.26005
Karapetiants, Nikolai K.; Shankishvili, Lamara D.
1
2002
On the compactness of multidimensional integral operators with homogeneous kernels with variable coefficients. Zbl 1053.47045
Avsyankin, O. G.; Karapetyants, N. K.
1
2001
Über eine Klasse von Gleichungen des Faltungstyps mit Verschiebung. Zbl 0329.45008
Karapetjanc, N. K.
1
1976
On the boundedness of integral operators with quasihomogeneous kernels. Zbl 0351.47038
Karapetjanc, N. K.
1
1977
Singular integral equations on the real line with a fractional-linear Carleman shift. Zbl 1027.47012
Karapetiants, N.; Samko, S.
1
2000
On integral operators with coordinatewise homogeneous kernels. Zbl 0513.45016
Karapetyants, N. K.
1
1982
Noether theory for a third kind linear integral equation with singular linear differential operator in the main part. Zbl 1088.47042
Abdourahman, A.; Karapetiants, N. K.
1
2004
Complete continuity of some classes of operators of convolution type and with homogeneous kernels. Zbl 0481.47035
Karapetyants, N. K.
1
1981
Potential-type operators on a sphere with singularities at the poles. Zbl 1124.31300
Vakulov, B. G.; Karapetyants, N. K.
1
2003
Anwendung der Normalisationsmethode auf eine Klasse von unendlichen Systemen von linearen algebraischen Gleichungen. Zbl 0181.42503
Dybin, V. B.; Karapetyants, N. K.
1
1967
Discrete equations of convolution type in an exceptional case. Zbl 0205.43102
Karapetyants, N. K.
1
1970
On a class of integral equations of convolution type and its application. Zbl 0208.37201
Karapetyants, N. K.; Samko, S. G.
1
1970
Fractional integrals in the limiting case. Zbl 0847.26009
Karapetyants, N. K.; Ginzburg, A. I.
1
1993
Discrete convolution equations with monotone nonlinearities. Zbl 0698.45006
Askhabov, S. N.; Karapetyants, N. K.
1
1989
Weighted theorems on fractional integrals in the generalized Hölder spaces via indices \(m_\omega\) and \(M_\omega\). Zbl 1114.26005
Karapetyants, Nikolai K.; Samko, Natasha
14
2004
Projection method in the theory of integral operators with homogeneous kernels. Zbl 1110.47305
Avsyankin, O. G.; Karapetyants, N. K.
5
2004
Noether theory for a third kind linear integral equation with singular linear differential operator in the main part. Zbl 1088.47042
Abdourahman, A.; Karapetiants, N. K.
1
2004
On the pseudospectra of multidimensional integral operators with homogeneous kernels of degree \(-n\). Zbl 1036.45001
Avsyankin, O. G.; Karapetyants, N. K.
3
2003
Spherical convolution operators with a power-logarithmic kernel in generalized Hölder spaces. Zbl 1076.42010
Vakulov, B. G.; Karapetyants, N. K.; Shankishvili, L. D.
2
2003
Potential-type operators on a sphere with singularities at the poles. Zbl 1124.31300
Vakulov, B. G.; Karapetyants, N. K.
1
2003
Spherical potentials of complex order in generalized weighted Hölder spaces. Zbl 1136.31307
Vakulov, B. G.; Karapetyants, N. K.; Shankishvili, L. D.
2
2002
Fractional integro-differentiation of the complex order in generalized Hölder spaces \(H_0^\omega([0,1],\rho)\). Zbl 1027.26005
Karapetiants, Nikolai K.; Shankishvili, Lamara D.
1
2002
Equations with involutive operators. Zbl 0990.47011
Karapetiants, N.; Samko, Stefan
61
2001
Algebra of multidimensional integral operators with homogeneous kernels with varying coefficients. Zbl 1027.47040
Avsyankin, O. G.; Karapetyants, N. K.
7
2001
Spherical hypersingular operators of imaginary order and their multipliers. Zbl 1072.47513
Vakulov, Boris G.; Karapetiants, Nikolai K.; Shankishvili, Lamara D.
5
2001
On multi-dimensional integral equations of convolution type with shift. Zbl 0987.47007
Karapetiants, N. K.; Samko, S. G.
2
2001
On the compactness of multidimensional integral operators with homogeneous kernels with variable coefficients. Zbl 1053.47045
Avsyankin, O. G.; Karapetyants, N. K.
1
2001
Upper and lower bounds for solutions of nonlinear Volterra convolution integral equations with power nonlinearity. Zbl 0982.45003
Karapetyants, Nikolai K.; Kilbas, Anatoly A.; Saigo, Megumi; Samko, Stefan G.
12
2000
On Fredholm properties of a class of Hankel operators. Zbl 0966.45010
Karapetiants, N. K.; Samko, S. G.
5
2000
Singular integral equations on the real line with a fractional-linear Carleman shift. Zbl 1027.47012
Karapetiants, N.; Samko, S.
1
2000
Multidimensional integral operators with homogeneous kernels of degree \(-n\). Zbl 1044.47513
Avsyankin, O. G.; Karapetyants, N. K.
9
1999
Multi-dimensional integral operators with homogeneous kernels. Zbl 1043.47509
Karapetiants, Nikolai K.; Samko, Stefan G.
7
1999
A short proof of Hardy-Littlewood-type theorem for fractional integrals in weighted Hölder spaces. Zbl 1030.26007
Karapetiants, Nikolai K.; Shankishvili, Lamara D.
2
1999
On the solution of nonlinear Volterra convolution equation with power nonlinearity. Zbl 0874.45002
Karapetyants, Nikolai K.; Kilbas, Anatoly A.; Saigo, Megumi
6
1996
Fractional integrodifferentiation in Hölder classes of arbitrary order. Zbl 0820.26004
Karapetyants, N. K.; Ginzburg, A. I.
10
1995
Lebesgue points for fractional integral. Zbl 0842.26007
Karapetyants, Nikolai K.; Ginsburg, Anna I.
1
1995
Fractional integrals and singular integrals in the Hölder classes of variable order. Zbl 0842.26006
Karapetyants, N. K.; Ginsburg, A. I.
12
1994
Fractional integrodifferentiation in Hölder classes of variable order. Zbl 0884.26006
Ginzburg, A. I.; Karapetyants, N. K.
6
1994
Fractional integrals in the limiting case. Zbl 0847.26009
Karapetyants, N. K.; Ginzburg, A. I.
1
1993
Discrete equations of convolution type with a monotone nonlinearity in complex spaces. Zbl 0834.47054
Askhabov, S. N.; Karapetyants, N. K.
2
1992
On an isomorphism realized by fractional integrals in generalized Nikol’skij’s classes. Zbl 0810.26004
Karapetyants, N. K.; Murdaev, Kh. M.; Yakubov, A. Ya.
1
1992
Modulus of continuity of the convolution operators on a segment. Zbl 0772.26007
Karapetyants, N. K.
1
1992
A convolution equation with power nonlinearity of negative order. Zbl 0770.45009
Karapetyants, N. K.; Yakubov, A. Ya.
6
1991
Integral equations of convolution type with a power nonlinearity, and their systems. Zbl 0726.45006
Askhabov, S. N.; Karapetyants, N. K.; Yakubov, A. Ya.
4
1990
On an isomorphism implemented by fractional integrals in generalized Hölder classes. Zbl 0745.26005
Karapetyants, N. K.; Murdaev, Kh. M.; Yakubov, A. Ya.
1
1990
Discrete equations of convolution type with monotone nonlinearity. Zbl 0685.45003
Askhabov, S. N.; Karapetyants, N. K.
3
1989
Discrete convolution equations with monotone nonlinearities. Zbl 0698.45006
Askhabov, S. N.; Karapetyants, N. K.
1
1989
Equations with involutive operators and their applications. (Uravneniya s involyutivnymi operatorami i ikh prilozheniya.) Zbl 0782.47011
Karapetyants, N. K.; Samko, S. G.
9
1988
On fractional integrals with limiting exponent. Zbl 0664.26003
Karapetyants, N. K.; Rubin, B. S.
2
1988
On a nonlinear equation of convolution type. Zbl 0607.45003
Askhabov, S. N.; Karapetyants, N. K.; Yakubov, A. Ya.
3
1986
A class of nonlinear equations of convolution type. Zbl 0623.45014
Karapetyants, N. K.
3
1985
Radial Riesz potentials on the disk and fractional integration operators. Zbl 0566.45020
Karapetjanc, N. K.; Rubin, B. S.
3
1982
On integral operators with coordinatewise homogeneous kernels. Zbl 0513.45016
Karapetyants, N. K.
1
1982
Necessary conditions for the boundedness of an operator with nonnegative quasihomogeneous kernel. Zbl 0486.47019
Karapetyants, N. K.
5
1981
Complete continuity of some classes of operators of convolution type and with homogeneous kernels. Zbl 0481.47035
Karapetyants, N. K.
1
1981
On the boundedness of integral operators with quasihomogeneous kernels. Zbl 0351.47038
Karapetjanc, N. K.
1
1977
Über eine Klasse von Gleichungen des Faltungstyps mit Verschiebung. Zbl 0329.45008
Karapetjanc, N. K.
1
1976
Singular integral equations with Carleman shift in the case of discontinuous coefficients, and the investigation of the Noetherian nature of a class of linear operators with involution. Zbl 0288.45011
Karapetjanc, N. K.; Samko, S. G.
2
1973
Singular integral operators on the axis with fractional linear shift and the Noether property of operators with involution. Zbl 0233.47036
Karapetyants, N. K.; Samko, S. G.
4
1972
On discrete Wiener-Hopf operators with oscillating coefficients. Zbl 0234.47028
Karapetyants, N. K.; Samko, S. G.
4
1971
On the functional equation \(\psi(x + \alpha) - b(x)\psi(x) = g(x)\). (Über die Funktionalgleichung \(\psi(x + \alpha) - b(x)\psi(x) = g(x)\).) Zbl 0205.15001
Karapetyants, N. K.; Samko, S. G.
3
1970
On the index of some classes of integral operators. Zbl 0214.12401
Karapetyants, N. K.; Samko, S. G.
3
1970
Diskrete Gleichungen vom Faltungstyp in einem Ausnahmefall. Zbl 0199.21103
Karapetyants, N. K.
2
1970
Discrete equations of convolution type in an exceptional case. Zbl 0205.43102
Karapetyants, N. K.
1
1970
On a class of integral equations of convolution type and its application. Zbl 0208.37201
Karapetyants, N. K.; Samko, S. G.
1
1970
Anwendung der Normalisationsmethode auf eine Klasse von unendlichen Systemen von linearen algebraischen Gleichungen. Zbl 0181.42503
Dybin, V. B.; Karapetyants, N. K.
1
1967
all top 5

Cited by 144 Authors

22 Samko, Stefan Grigorievich
20 Avsyankin, Oleg Gennadievich
9 Deundyak, Vladimir Mikhaĭlovich
8 Pinheiro de Castro, Luís Filipe
8 Karapetyants, Nikolai K.
8 Vakulov, Boris Grigorievich
7 Samko, Natasha
4 Askhabov, Sultan Nazhmudinovich
4 Kilbas, Anatoliĭ Aleksandrovich
4 Persson, Lars-Erik
4 Silbermann, Bernd
3 Didenko, Victor D.
3 Karapetyants, Alexey N.
3 Lebre, Amarino Brites
3 Li, Chengkuan
3 Lukkassen, Dag
3 Rafeiro, Humberto
3 Rojas, Edixon Manuel
3 Saigo, Megumi
3 Shapiro, Michael V.
3 Umarkhadzhiev, Salaudin Musaevich
2 Arias, Mariano R.
2 Benitez, Rafael
2 Broyan, Marine Firdusovich
2 Clarkson, Kyle
2 Coclite, Mario Michele
2 Drobotov, Yuri Evgenievich
2 Jain, Pankaj
2 Jain, Sandhya
2 Karlovych, Oleksiy
2 Khachatryan, Khachatur Aghavardovich
2 Kokilashvili, Vakhtang Mikhailovich
2 Kornuta, A. A.
2 Kravchenko, Viktor G.
2 Kryakvin, Vadim Donatovich
2 Li, Pingrun
2 Lukianenko, Vladimir Andreevich
2 Nazarova, Kulzina Zharkimbekovna
2 Pasenchuk, Aleksandr Èduardovich
2 Samko, Natalia G.
2 Silva, Anabela Sousa
2 Speck, Frank-Olme
2 Teixeira, Francisco S.
2 Terdzhyan, Tsolak Èrnestovich
2 Turmetov, Batirkhan Khudaybergenovich
2 Usmanov, Kaĭrat Idrisovich
2 Wall, Peter
2 Yakubov, Askhab Ya.
1 Abdourahman, A.
1 Ali, Hegagi Mohamed
1 Almeida, Alexandre
1 Antonevich, Anatolij Borisovich
1 Arabadzhyan, L. G.
1 Arens, Tilo
1 Basor, Estelle L.
1 Ben Adda, Fayçal
1 Bogveradze, Giorgi
1 Bolós, Vicente J.
1 Bonet Solves, José
1 Burtseva, Evgeniya
1 Cardoso, Rogério P.
1 Carena, Marilina
1 Chandler-Wilde, Simon N.
1 Coclite, Giuseppe Maria
1 Costabel, Martin
1 Cresson, Jacky
1 Denisenko, Valeriĭ Vasil’evich
1 Diening, Lars
1 Ehrhardt, Torsten
1 Engibaryan, Norayr B.
1 Eshima, Nobuoki
1 Fečkan, Michal
1 Fiorenza, Alberto
1 Furati, Khaled M.
1 Gama, Silvio Marques A.
1 Ganzburg, Michael Iosifovich
1 Garif’yanov, Farkhat Nurgayazovich
1 Gil, Alexey V.
1 Ginzburg, A. I.
1 Gorodetskii, M. B.
1 Haseloh, Kai O.
1 Humphries, Thomas
1 Iaffei, Bibiana
1 Kamalyan, Armen G.
1 Kaplitskiĭ, Vitaliĭ Markovich
1 Karachik, Valeriĭ Valentinovich
1 Karelin, Alexander A.
1 Karelin, Oleksandr
1 Karlovich, Yuri I.
1 Kengne, Emmanuel
1 Kochurov, E. S.
1 Koval’chuk, Alisa Markovna
1 Kukushkin, Maksim V.
1 Kurata, Kazuhiro
1 Kurbatov, Vitaliĭ Gennad’evich
1 Li, Changpin
1 Liflyand, Elijah
1 Lipovan, Olivia
1 Lobo Pereira, Fernando
1 Lukin, Aleksandr Vasil’evich
...and 44 more Authors
all top 5

Cited in 56 Serials

17 Mathematical Notes
11 Journal of Mathematical Analysis and Applications
10 Russian Mathematics
9 Journal of Mathematical Sciences (New York)
8 Journal of Integral Equations and Applications
8 Differential Equations
7 Integral Equations and Operator Theory
6 Siberian Mathematical Journal
5 Vladikavkazskiĭ Matematicheskiĭ Zhurnal
4 Fractional Calculus & Applied Analysis
4 Lobachevskii Journal of Mathematics
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Doklady Mathematics
3 Journal of Function Spaces and Applications
3 Mediterranean Journal of Mathematics
3 Complex Analysis and Operator Theory
2 Zeitschrift für Analysis und ihre Anwendungen
2 Georgian Mathematical Journal
2 Integral Transforms and Special Functions
2 Boletín de la Sociedad Matemática Mexicana. Third Series
2 The Journal of Fourier Analysis and Applications
2 Journal of Inequalities and Applications
2 Proceedings of the Steklov Institute of Mathematics
2 Journal of Spectral Theory
2 Axioms
2 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki
2 Mathematics
1 Applicable Analysis
1 Computers & Mathematics with Applications
1 Journal d’Analyse Mathématique
1 Mathematical Methods in the Applied Sciences
1 Rocky Mountain Journal of Mathematics
1 Ukrainian Mathematical Journal
1 Mathematics of Computation
1 Dissertationes Mathematicae
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Differential Equations
1 Journal of Soviet Mathematics
1 Mathematische Nachrichten
1 Numerical Functional Analysis and Optimization
1 Journal of Global Optimization
1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
1 Indagationes Mathematicae. New Series
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Nonlinear Dynamics
1 Revista Matemática Complutense
1 Matematicheskoe Modelirovanie
1 Fixed Point Theory and Applications
1 Sibirskie Èlektronnye Matematicheskie Izvestiya
1 Boundary Value Problems
1 Complex Variables and Elliptic Equations
1 Nonlinear Oscillations
1 Ufimskiĭ Matematicheskiĭ Zhurnal
1 Eurasian Mathematical Journal
1 Analysis and Mathematical Physics
1 Vestnik Samarskogo Universiteta. Estestvennonauchnaya Seriya

Citations by Year