Edit Profile (opens in new tab) Korotkov, Vitalii Borisovich Co-Author Distance Author ID: korotkov.vitalii-borisovich Published as: Korotkov, V. B.; Korotkov, Vitaliĭ Borisovich; Korotkov, Vitalii Borisovich more...less Documents Indexed: 113 Publications since 1961, including 4 Books Co-Authors: 8 Co-Authors with 9 Joint Publications 366 Co-Co-Authors all top 5 Co-Authors 104 single-authored 2 Bukhvalov, Alexander V. 2 Gil’derman, Ju. I. 2 Globenko, I. G. 2 Makarov, Boris Mikhaĭlovich 2 Stepanov, Vladimir Dmitrievich 1 Kadlec, Jan 1 Kusraev, Anatoliĭ Georgievich 1 Kutateladze, Semën Samsonovich all top 5 Serials 45 Siberian Mathematical Journal 30 Sibirskiĭ Matematicheskiĭ Zhurnal 10 Soviet Mathematics. Doklady 6 Mathematical Notes 5 Matematicheskie Zametki 2 Differential Equations 2 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 1 Doklady Akademii Nauk SSSR 1 Czechoslovak Mathematical Journal 1 Differentsial’nye Uravneniya all top 5 Fields 87 Operator theory (47-XX) 34 Integral equations (45-XX) 22 Functional analysis (46-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Numerical analysis (65-XX) 1 General and overarching topics; collections (00-XX) 1 Difference and functional equations (39-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 48 Publications have been cited 210 times in 110 Documents Cited by ▼ Year ▼ Integral operators. (Integral’nye operatory). Zbl 0526.47015 Korotkov, V. B. 52 1983 Integral operators with Carleman kernels. Zbl 0186.20601 Korotkov, V. B. 15 1965 Some questions in the theory of integral operators. (Nekotorye voprosy teorii integral’nykh operatorov.) Zbl 0698.47019 Korotkov, V. B. 13 1988 Vector lattices and integral operators. (Vektornye reshetki i integral’nye operatory.) Zbl 0752.46001 Bukhvalov, A. V.; Korotkov, V. B.; Kusraev, A. G.; Kutateladze, S. S.; Makarov, B. M. 13 1991 Classification and characteristic properties of Carleman operators. Zbl 0208.16901 Korotkov, V. B. 11 1970 Characteristic properties of integral operators with kernels of Carleman type. Zbl 0206.14101 Korotkov, V. B. 8 1970 On some properties of partially integral operators. Zbl 0302.47038 Korotkov, V. B. 8 1974 Regular compact factorization of integral operators in \(L_ p\). Zbl 0558.45013 Korotkov, V. B. 8 1983 Integral operators. Textbook. (Integral’nye operatory. Uchebnoe posobie). Zbl 0495.45011 Korotkov, V. B. 7 1977 Strong integral operators. Zbl 0354.47022 Korotkov, V. B. 5 1974 Integral and partially integral operators. Zbl 0386.47013 Korotkov, V. B. 4 1978 Some properties of integral convolution operators. Zbl 0472.47027 Korotkov, V. B.; Stepanov, V. D. 4 1979 On the integral operators of the third kind. Zbl 1032.45018 Korotkov, V. B. 3 2003 On integral operators. Zbl 0219.47047 Korotkov, V. B. 3 1970 On regular and compact factorization of integral operators in \(L_ p\). Zbl 0537.45013 Korotkov, V. B. 3 1982 On the problem of G. I. Targonski concerning the relation between the kernel of a normal Carleman operator and the kernel of the adjoint operator. Zbl 0193.43703 Korotkov, V. B. 2 1969 Carleman operators in spaces of abstract functions. II. Zbl 0229.47036 Korotkov, V. B. 2 1971 Integral operators with kernels satisfying Carleman and Ahiezer conditions. I. Zbl 0245.47049 Korotkov, V. B. 2 1972 Some unsolved problems of the theory of integral operators. Zbl 0911.45011 Korotkov, V. B. 2 1996 On the nonintegrability property of the Fredholm resolvent of some integral operators. Zbl 0917.47044 Korotkov, V. B. 2 1998 Linear functional equations of the first, second, and third kind in \(L_2\). Zbl 1284.45002 Korotkov, V. B. 2 2013 Integral equations of the third kind with unbounded operators. Zbl 1372.45002 Korotkov, V. B. 2 2017 On resolvents of intergral and partially integral operators. Zbl 0833.47045 Korotkov, V. B. 2 1993 Integral operators with Carleman kernels. Zbl 0169.47401 Korotkov, V. B. 2 1968 On direct and inverse imbedding theorems for some spaces of abstract set functions. Zbl 0202.13002 Korotkov, V. B. 2 1962 Measure-compact operators, almost compact operators, and linear functional equations in \(L_p\). Zbl 1282.47024 Korotkov, V. B. 2 2013 Abstract set functions and embedding theorems. Zbl 0134.11301 Korotkov, V. B. 2 1962 On partially measure compact unbounded linear operators on \(L_2\). Zbl 1474.47054 Korotkov, Vitaliĭ Borisovich 2 2016 Ideals of sets of integral and partially integral operators. Zbl 0727.47040 Korotkov, V. B. 2 1990 The unitary equivalence of linear operators to integral operators. Zbl 0334.47035 Korotkov, V. B. 2 1976 On general integral equations of the third kind. Zbl 0427.45001 Korotkov, V. B. 2 1979 On some properties of integral and of partially integral operators in\( L_2\). Zbl 0442.47031 Korotkov, V. B. 2 1980 Criteria for a measurable function to generate integral operators. Zbl 0517.47021 Korotkov, V. B.; Stepanov, V. D. 2 1982 Representation of linear continuous operators by abstract functions, and imbedding theorems. Zbl 0171.34402 Korotkov, V. B. 1 1963 Eine charakteristische Eigenschaft starker selbstadjungierter Integral- und \(B\)-Integraloperatoren. Zbl 0213.14701 Korotkov, V. B. 1 1970 Integral representations of linear operators. Zbl 0297.47034 Korotkov, V. B. 1 1975 Properties of integrals and partially integral operators. Zbl 0896.47038 Korotkov, V. B. 1 1992 Systems of integral equations. Zbl 0621.45003 Korotkov, V. B. 1 1986 Regular and compact factorization of integral operators. Zbl 0581.47010 Korotkov, V. B. 1 1985 A method of solving integral equations with arbitrary kernels. Zbl 0635.65135 Korotkov, V. B. 1 1987 Reducing certain operator families to integral form. Zbl 0814.47057 Korotkov, V. B. 1 1993 Tests for compactness in abstract function spaces and complete continuity of the imbedding operator. Zbl 0139.07102 Korotkov, V. B. 1 1965 On systems of linear functional equations of the third kind in \(L_2\). Zbl 1342.45003 Korotkov, V. B. 1 2015 On some algebra of continuous linear operators. Zbl 1221.47055 Korotkov, V. B. 1 2011 Reduction of operator families to integral form. Zbl 1150.47348 Korotkov, V. B. 1 2006 On one class of linear operators in \(L_2\). Zbl 1512.47060 Korotkov, V. B. 1 2019 A criterion for unitary equivalence of unbounded operators to integral operators. Zbl 0404.47024 Korotkov, V. B. 1 1978 Unitary equivalence of linear operators to bi-Carleman integral operators. Zbl 0509.47027 Korotkov, V. B. 1 1982 On one class of linear operators in \(L_2\). Zbl 1512.47060 Korotkov, V. B. 1 2019 Integral equations of the third kind with unbounded operators. Zbl 1372.45002 Korotkov, V. B. 2 2017 On partially measure compact unbounded linear operators on \(L_2\). Zbl 1474.47054 Korotkov, Vitaliĭ Borisovich 2 2016 On systems of linear functional equations of the third kind in \(L_2\). Zbl 1342.45003 Korotkov, V. B. 1 2015 Linear functional equations of the first, second, and third kind in \(L_2\). Zbl 1284.45002 Korotkov, V. B. 2 2013 Measure-compact operators, almost compact operators, and linear functional equations in \(L_p\). Zbl 1282.47024 Korotkov, V. B. 2 2013 On some algebra of continuous linear operators. Zbl 1221.47055 Korotkov, V. B. 1 2011 Reduction of operator families to integral form. Zbl 1150.47348 Korotkov, V. B. 1 2006 On the integral operators of the third kind. Zbl 1032.45018 Korotkov, V. B. 3 2003 On the nonintegrability property of the Fredholm resolvent of some integral operators. Zbl 0917.47044 Korotkov, V. B. 2 1998 Some unsolved problems of the theory of integral operators. Zbl 0911.45011 Korotkov, V. B. 2 1996 On resolvents of intergral and partially integral operators. Zbl 0833.47045 Korotkov, V. B. 2 1993 Reducing certain operator families to integral form. Zbl 0814.47057 Korotkov, V. B. 1 1993 Properties of integrals and partially integral operators. Zbl 0896.47038 Korotkov, V. B. 1 1992 Vector lattices and integral operators. (Vektornye reshetki i integral’nye operatory.) Zbl 0752.46001 Bukhvalov, A. V.; Korotkov, V. B.; Kusraev, A. G.; Kutateladze, S. S.; Makarov, B. M. 13 1991 Ideals of sets of integral and partially integral operators. Zbl 0727.47040 Korotkov, V. B. 2 1990 Some questions in the theory of integral operators. (Nekotorye voprosy teorii integral’nykh operatorov.) Zbl 0698.47019 Korotkov, V. B. 13 1988 A method of solving integral equations with arbitrary kernels. Zbl 0635.65135 Korotkov, V. B. 1 1987 Systems of integral equations. Zbl 0621.45003 Korotkov, V. B. 1 1986 Regular and compact factorization of integral operators. Zbl 0581.47010 Korotkov, V. B. 1 1985 Integral operators. (Integral’nye operatory). Zbl 0526.47015 Korotkov, V. B. 52 1983 Regular compact factorization of integral operators in \(L_ p\). Zbl 0558.45013 Korotkov, V. B. 8 1983 On regular and compact factorization of integral operators in \(L_ p\). Zbl 0537.45013 Korotkov, V. B. 3 1982 Criteria for a measurable function to generate integral operators. Zbl 0517.47021 Korotkov, V. B.; Stepanov, V. D. 2 1982 Unitary equivalence of linear operators to bi-Carleman integral operators. Zbl 0509.47027 Korotkov, V. B. 1 1982 On some properties of integral and of partially integral operators in\( L_2\). Zbl 0442.47031 Korotkov, V. B. 2 1980 Some properties of integral convolution operators. Zbl 0472.47027 Korotkov, V. B.; Stepanov, V. D. 4 1979 On general integral equations of the third kind. Zbl 0427.45001 Korotkov, V. B. 2 1979 Integral and partially integral operators. Zbl 0386.47013 Korotkov, V. B. 4 1978 A criterion for unitary equivalence of unbounded operators to integral operators. Zbl 0404.47024 Korotkov, V. B. 1 1978 Integral operators. Textbook. (Integral’nye operatory. Uchebnoe posobie). Zbl 0495.45011 Korotkov, V. B. 7 1977 The unitary equivalence of linear operators to integral operators. Zbl 0334.47035 Korotkov, V. B. 2 1976 Integral representations of linear operators. Zbl 0297.47034 Korotkov, V. B. 1 1975 On some properties of partially integral operators. Zbl 0302.47038 Korotkov, V. B. 8 1974 Strong integral operators. Zbl 0354.47022 Korotkov, V. B. 5 1974 Integral operators with kernels satisfying Carleman and Ahiezer conditions. I. Zbl 0245.47049 Korotkov, V. B. 2 1972 Carleman operators in spaces of abstract functions. II. Zbl 0229.47036 Korotkov, V. B. 2 1971 Classification and characteristic properties of Carleman operators. Zbl 0208.16901 Korotkov, V. B. 11 1970 Characteristic properties of integral operators with kernels of Carleman type. Zbl 0206.14101 Korotkov, V. B. 8 1970 On integral operators. Zbl 0219.47047 Korotkov, V. B. 3 1970 Eine charakteristische Eigenschaft starker selbstadjungierter Integral- und \(B\)-Integraloperatoren. Zbl 0213.14701 Korotkov, V. B. 1 1970 On the problem of G. I. Targonski concerning the relation between the kernel of a normal Carleman operator and the kernel of the adjoint operator. Zbl 0193.43703 Korotkov, V. B. 2 1969 Integral operators with Carleman kernels. Zbl 0169.47401 Korotkov, V. B. 2 1968 Integral operators with Carleman kernels. Zbl 0186.20601 Korotkov, V. B. 15 1965 Tests for compactness in abstract function spaces and complete continuity of the imbedding operator. Zbl 0139.07102 Korotkov, V. B. 1 1965 Representation of linear continuous operators by abstract functions, and imbedding theorems. Zbl 0171.34402 Korotkov, V. B. 1 1963 On direct and inverse imbedding theorems for some spaces of abstract set functions. Zbl 0202.13002 Korotkov, V. B. 2 1962 Abstract set functions and embedding theorems. Zbl 0134.11301 Korotkov, V. B. 2 1962 all cited Publications top 5 cited Publications all top 5 Cited by 77 Authors 49 Korotkov, Vitalii Borisovich 4 Novitskiĭ, Igor M. 3 Aleksandrov, E. L. 2 Berezhnoĭ, Evgeniĭ Ivanovich 2 Emel’yanov, Èduard Yur’evich 2 Geyler, Vladimir A. 2 Grobler, Jacobus J. 2 Kirichenko, B. I. 2 Kolesnikov, E. V. 2 Kosmakova, Minzilya Timerbaevna 2 Maksimova, O. D. 2 Perel’muter, Michael A. 2 Ramazanov, Murat Ibraevich 2 Stepanov, Vladimir Dmitrievich 2 Swanepoel, G. 2 Tuleutaeva, Zhanar Mukhataevna 1 Alkhutov, Yuriy Alexandrovich 1 Arziev, A. D. 1 Babenko, Vladyslav Fedorovych 1 Babenko, Yuliya 1 Bichegkuev, Mairbek Suleĭmanovich 1 Boumenir, Amin A. 1 Bukhvalov, Alexander V. 1 Chuchaev, Ivan Ivanovich 1 Corduneanu, Constantin 1 Demidov, V. V. 1 Denisenko, Valeriĭ Vasil’evich 1 Deundyak, Vladimir Mikhaĭlovich 1 Dodds, Peter G. 1 Dzhenaliev, Muvasharkhan Tanabaevich 1 Erkurşun Özcan, Nazife 1 Furmenko, Aleksandr Ivanovich 1 Gesztesy, Fritz 1 Globenko, I. G. 1 Gogatishvili, Amiran 1 Gorokhova, Svetlana G. 1 Kalitvin, Anatolij S. 1 Kalitvin, V. A. 1 Khlopina, Natalia L. 1 Kopaliani, Tengizi S. 1 Kuleshov, Aleksandr Arkad’evich 1 Lakshmikantham, Vangipuram 1 Liskevich, Vitaliĭ A. 1 Lisovik, Leonid P. 1 Maksimova, Larisa L’vovna 1 Maligranda, Lech 1 Malygina, Vera Vladimirovna 1 Margulis, V. A. 1 Mitrea, Marius 1 Nichols, Roger 1 Norvaiša, Rimas 1 Orinbaev, P. R. 1 Parfinovych, Nataliia Viktorivna 1 Pastukhova, Svetlana Evgenievna 1 Pavlov, Evgeniĭ Aleksandrovich 1 Radnaev, V. A. 1 Sabatulina, Tatyana Leonidovna 1 Schep, Anton R. 1 Semënov, Yuliy A. 1 Shamaev, I. I. 1 Simon, Barry 1 Skorokhodov, Dmytro S. 1 Skrzypczyk, Jerzy 1 Sourour, Ahmed Ramzi 1 Stork, Werner 1 Sukochev, Fedor Anatol’evich 1 Sunder, Viakalathur S. 1 Tangirbergen, A. K. 1 Targonski, György I. 1 Tibilov, K. T. 1 Tikhonov, Oleg Evgen’evich 1 Väth, Martin 1 Veselova, Lidia V. 1 Wloka, Josef 1 Zabreĭko, Pëtr Petrovich 1 Zhdanov, S. I. 1 Zhikov, Vasiliĭ Vasil’evich all top 5 Cited in 35 Serials 59 Siberian Mathematical Journal 10 Mathematical Notes 3 Mathematische Zeitschrift 2 Functional Analysis and its Applications 2 Integral Equations and Operator Theory 2 Journal of Soviet Mathematics 2 Journal of Integral Equations and Applications 2 Journal of Mathematical Sciences (New York) 2 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 1 Journal d’Analyse Mathématique 1 Lithuanian Mathematical Journal 1 Reports on Mathematical Physics 1 Russian Mathematical Surveys 1 Czechoslovak Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Quaestiones Mathematicae 1 Transactions of the American Mathematical Society 1 Zeitschrift für Analysis und ihre Anwendungen 1 Journal of Complexity 1 Siberian Advances in Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Indagationes Mathematicae. New Series 1 Cybernetics and Systems Analysis 1 Russian Mathematics 1 St. Petersburg Mathematical Journal 1 Lobachevskii Journal of Mathematics 1 Trudy Instituta Matematiki 1 Differential Equations 1 Journal of Evolution Equations 1 Kragujevac Journal of Mathematics 1 Central European Journal of Mathematics 1 Proceedings of the Steklov Institute of Mathematics 1 Eurasian Mathematical Journal 1 Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika 1 Nonlinear Analysis. Theory, Methods & Applications all top 5 Cited in 15 Fields 87 Operator theory (47-XX) 30 Integral equations (45-XX) 29 Functional analysis (46-XX) 8 Partial differential equations (35-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 2 Real functions (26-XX) 2 Ordinary differential equations (34-XX) 2 Abstract harmonic analysis (43-XX) 2 Probability theory and stochastic processes (60-XX) 2 Quantum theory (81-XX) 1 Mathematical logic and foundations (03-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Numerical analysis (65-XX) Citations by Year