Edit Profile (opens in new tab) Vakulov, Boris Grigorievich Co-Author Distance Author ID: vakulov.boris-grigorievich Published as: Vakulov, B. G.; Vakulov, Boris; Vakulov, Boris G.; Vakulov, B.; Vakulov, Boris Grigorievich more...less Documents Indexed: 32 Publications since 1986 Co-Authors: 33 Co-Authors with 23 Joint Publications 1,046 Co-Co-Authors all top 5 Co-Authors 9 single-authored 11 Samko, Stefan Grigor’evich 5 Karapetyants, Nikolaĭ Karapetovich 4 Samko, Natalia G. 4 Samko, Natasha 3 Kusraev, Anatoliĭ Georgievich 3 Shankishvili, Lamara D. 2 Avsyankin, Oleg Gennadievich 2 Drobotov, Yuri Evgenievich 2 Erusalimskiĭ, Yakov Mikhaĭlovich 2 Guliyev, Vagif Sabir 2 Karapetyants, Alekseĭ Nikolaevich 2 Kochurov, E. S. 2 Umarov, Khasan Galsanovich 1 Abanin, Aleksandr Vasil’evich 1 Askhabov, Sultan Nazhmudinovich 1 Burenkov, Viktor Ivanovich 1 Chuvenkov, A. F. 1 Gol’dman, Mikhail L’vovich 1 Karyakin, Mikhail I. 1 Kokilashvili, Vakhtang 1 Korobeĭnik, Yuriĭ Fëdorovich 1 Kostetskaya, G. S. 1 Liflyand, Elijah 1 Pskhu, Arsen Vladimirovich 1 Rabinovich, Vladimir Samuilovich 1 Rogosin, Sergei V. 1 Rubin, Boris 1 Shargorodsky, Eugene 1 Soldatov, Aleksandr Pavlovich 1 Spitkovsky, Ilya Matvey 1 Stepanov, Vladimir Dmitrievich 1 Umarkhadzhiev, Salaudin Musaevich 1 Vodop’yanov, Sergeĭ Konstantinovich all top 5 Serials 5 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 4 Doklady Mathematics 3 Journal of Mathematical Analysis and Applications 3 Izvestiya Vysshikh Uchebnykh Zavedeniĭ. Severo-Kavkazskiĭ Region. Estestvennye Nauki 2 Mathematical Notes 2 Soviet Mathematics 2 Russian Mathematics 2 Fractional Calculus & Applied Analysis 2 Armenian Journal of Mathematics 1 Mathematische Nachrichten 1 Integral Transforms and Special Functions 1 Journal of Function Spaces and Applications 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Operators and Matrices all top 5 Fields 17 Operator theory (47-XX) 15 Functional analysis (46-XX) 12 Real functions (26-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 7 Potential theory (31-XX) 3 History and biography (01-XX) 3 Integral equations (45-XX) 1 Integral transforms, operational calculus (44-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 25 Publications have been cited 185 times in 99 Documents Cited by ▼ Year ▼ Weighted Sobolev theorem with variable exponent for spatial and spherical potential operators. Zbl 1079.47053 Samko, S.; Vakulov, B. 39 2005 Weighted Sobolev theorem in Lebesgue spaces with variable exponent. Zbl 1142.46018 Samko, N. G.; Samko, S. G.; Vakulov, B. G. 34 2007 Weighted Sobolev theorem with variable exponent for spatial and spherical potential operators. II. Zbl 1107.47016 Samko, S.; Shargorodsky, E.; Vakulov, B. 14 2007 Fractional integrals and hypersingular integrals in variable order Hölder spaces on homogeneous spaces. Zbl 1211.46024 Samko, Natasha; Samko, Stefan; Vakulov, Boris 14 2010 Spherical fractional and hypersingular integrals of variable order in generalized Hölder spaces with variable characteristic. Zbl 1220.46018 Samko, Natasha; Vakulov, Boris 13 2011 Spherical potentials of complex order in the variable order Hölder spaces. Zbl 1077.46019 Vakulov, Boris G. 10 2005 Spherical convolution operators in spaces of variable Hölder order. Zbl 1139.47027 Vakulov, B. G. 7 2006 On equivalent norms in fractional order function spaces of continuous functions on the unit sphere. Zbl 1033.46500 Samko, Stefan G.; Vakulov, Boris G. 7 2000 Fractional integrals and hypersingular integrals in variable order Hölder spaces on homogeneous spaces. Zbl 1281.46025 Samko, N.; Samko, S.; Vakulov, B. 6 2009 Spherical hypersingular operators of imaginary order and their multipliers. Zbl 1072.47513 Vakulov, Boris G.; Karapetiants, Nikolai K.; Shankishvili, Lamara D. 6 2001 Spherical potentials of complex order in generalized weighted Hölder spaces. Zbl 1136.31307 Vakulov, B. G.; Karapetyants, N. K.; Shankishvili, L. D. 4 2002 Spherical convolution operators with a power-logarithmic kernel in a generalized Hölder space. Zbl 1119.47300 Vakulov, B. G. 4 2006 Complex-order spherical potentials in spaces of variable generalized Hölder order. Zbl 1327.31020 Vakulov, B. G. 4 2006 An operator of the potential type in a sphere in Hölder’s generalized classes. Zbl 0632.42011 Vakulov, B. G. 3 1986 Spherical operators of potential type in weighted Hölder spaces of variable order. Zbl 1299.42047 Vakulov, B. G. 3 2005 Spherical convolution operators with a power-logarithmic kernel in generalized Hölder spaces. Zbl 1076.42010 Vakulov, B. G.; Karapetyants, N. K.; Shankishvili, L. D. 3 2003 Spherical operators of potential type in generalized weighted Hölder spaces on a sphere. Zbl 1014.31002 Vakulov, B. G. 3 1999 Variable order Riesz potential over \(\dot{\mathbb{R}}^n\) on weighted generalized variable Hölder spaces. Zbl 1375.31007 Vakulov, Boris Grigorievich; Drobotov, Yuri Evgenievich 2 2017 On generalized spherical fractional integration operators in weighted generalized Hölder spaces on the unit sphere. Zbl 1160.46018 Samko, Natasha; Vakulov, Boris 2 2008 Weighted Sobolev theorem in Lebesgue spaces with variable exponent: corrigendum. Zbl 1441.46030 Samko, N. G.; Samko, S. G.; Vakulov, B. G. 2 2010 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 weighted generalized Hölder spaces with radial oscillating weights. Zbl 1147.47025 Samko, Natasha; Vakulov, Boris 1 2007 A weighted Sobolev theorem for spatial and spherical potentials in Lebesgue spaces with variable exponents. Zbl 1124.31003 Vakulov, B. G.; Samko, S. G. 1 2005 Fractional integrals and differentials of variable order in Hölder spaces \( H^{\omega(t,x)}\). Zbl 1218.26006 Vakulov, B. G.; Kochurov, E. S. 1 2010 Zygmund-type estimates for fractional integration and differentiation operators of variable order. Zbl 1266.47053 Vakulov, B. G.; Kochurov, E. S.; Samko, N. G. 1 2011 Variable order Riesz potential over \(\dot{\mathbb{R}}^n\) on weighted generalized variable Hölder spaces. Zbl 1375.31007 Vakulov, Boris Grigorievich; Drobotov, Yuri Evgenievich 2 2017 Spherical fractional and hypersingular integrals of variable order in generalized Hölder spaces with variable characteristic. Zbl 1220.46018 Samko, Natasha; Vakulov, Boris 13 2011 Zygmund-type estimates for fractional integration and differentiation operators of variable order. Zbl 1266.47053 Vakulov, B. G.; Kochurov, E. S.; Samko, N. G. 1 2011 Fractional integrals and hypersingular integrals in variable order Hölder spaces on homogeneous spaces. Zbl 1211.46024 Samko, Natasha; Samko, Stefan; Vakulov, Boris 14 2010 Weighted Sobolev theorem in Lebesgue spaces with variable exponent: corrigendum. Zbl 1441.46030 Samko, N. G.; Samko, S. G.; Vakulov, B. G. 2 2010 Fractional integrals and differentials of variable order in Hölder spaces \( H^{\omega(t,x)}\). Zbl 1218.26006 Vakulov, B. G.; Kochurov, E. S. 1 2010 Fractional integrals and hypersingular integrals in variable order Hölder spaces on homogeneous spaces. Zbl 1281.46025 Samko, N.; Samko, S.; Vakulov, B. 6 2009 On generalized spherical fractional integration operators in weighted generalized Hölder spaces on the unit sphere. Zbl 1160.46018 Samko, Natasha; Vakulov, Boris 2 2008 Weighted Sobolev theorem in Lebesgue spaces with variable exponent. Zbl 1142.46018 Samko, N. G.; Samko, S. G.; Vakulov, B. G. 34 2007 Weighted Sobolev theorem with variable exponent for spatial and spherical potential operators. II. Zbl 1107.47016 Samko, S.; Shargorodsky, E.; Vakulov, B. 14 2007 Spherical potentials of complex order in weighted generalized Hölder spaces with radial oscillating weights. Zbl 1147.47025 Samko, Natasha; Vakulov, Boris 1 2007 Spherical convolution operators in spaces of variable Hölder order. Zbl 1139.47027 Vakulov, B. G. 7 2006 Spherical convolution operators with a power-logarithmic kernel in a generalized Hölder space. Zbl 1119.47300 Vakulov, B. G. 4 2006 Complex-order spherical potentials in spaces of variable generalized Hölder order. Zbl 1327.31020 Vakulov, B. G. 4 2006 Weighted Sobolev theorem with variable exponent for spatial and spherical potential operators. Zbl 1079.47053 Samko, S.; Vakulov, B. 39 2005 Spherical potentials of complex order in the variable order Hölder spaces. Zbl 1077.46019 Vakulov, Boris G. 10 2005 Spherical operators of potential type in weighted Hölder spaces of variable order. Zbl 1299.42047 Vakulov, B. G. 3 2005 A weighted Sobolev theorem for spatial and spherical potentials in Lebesgue spaces with variable exponents. Zbl 1124.31003 Vakulov, B. G.; Samko, S. G. 1 2005 Spherical convolution operators with a power-logarithmic kernel in generalized Hölder spaces. Zbl 1076.42010 Vakulov, B. G.; Karapetyants, N. K.; Shankishvili, L. D. 3 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. 4 2002 Spherical hypersingular operators of imaginary order and their multipliers. Zbl 1072.47513 Vakulov, Boris G.; Karapetiants, Nikolai K.; Shankishvili, Lamara D. 6 2001 On equivalent norms in fractional order function spaces of continuous functions on the unit sphere. Zbl 1033.46500 Samko, Stefan G.; Vakulov, Boris G. 7 2000 Spherical operators of potential type in generalized weighted Hölder spaces on a sphere. Zbl 1014.31002 Vakulov, B. G. 3 1999 An operator of the potential type in a sphere in Hölder’s generalized classes. Zbl 0632.42011 Vakulov, B. G. 3 1986 all cited Publications top 5 cited Publications all top 5 Cited by 79 Authors 19 Samko, Stefan Grigor’evich 17 Shimomura, Tetsu 14 Mihăilescu, Mihai 12 Mizuta, Yoshihiro 11 Ohno, Takao 8 Rădulescu, Vicenţiu D. 7 Samko, Natasha 7 Vakulov, Boris Grigorievich 6 Kokilashvili, Vakhtang 6 Rafeiro, Humberto 5 Meskhi, Alexander 5 Persson, Lars-Erik 3 Almeida, Alexandre 3 Bocea, Marian F. 3 Hästö, Peter A. 3 Karapetyants, Alekseĭ Nikolaevich 3 Kukushkin, Maksim Vladimirovich 3 Lukkassen, Dag 3 Maeda, Fumiyuki 3 Moroșanu, Gheorghe 2 Aouaoui, Sami 2 Boureanu, Maria-Magdalena 2 Diening, Lars 2 Drobotov, Yuri Evgenievich 2 Jordão, Thaís 2 Menegatto, Valdir Antonio 2 Pucci, Patrizia 2 Samko, Natalia G. 1 Abreu-Blaya, Ricardo 1 Ahmad, Ahmad F. 1 Asif, Muhammad 1 Avsyankin, Oleg Gennadievich 1 Benkirane, Abdelmoujib 1 Bies, Piotr Michał 1 Bory Reyes, Juan 1 Boulaaras, Salah Mahmoud 1 Byun, Sun-Sig 1 Chen, Junlong 1 Chrif, Moussa 1 Cianci, Paolo 1 Cruz-Uribe, David Vincente 1 Edmunds, David Eric 1 El Manouni, Said 1 Eroglu, Ahmet 1 Fan, Xianling 1 Futamura, Toshihide 1 Górka, Przemysław 1 Guefaifia, Rafik 1 Guliyev, Vagif Sabir 1 Harjulehto, Petteri 1 Ibrahim, Rabha Waell 1 Kabli, Sarah 1 Kochurov, E. S. 1 Lee, Mikyoung 1 Li, Baode 1 Lifshits, Mikhail A. 1 Linde, Werner 1 Lukkari, Teemu 1 Morales, Evelyn 1 Noi, Takahiro 1 Obaiys, Suzan J. 1 Ok, Jihoon 1 Popovici, Cristina 1 Repovš, Dušan D. 1 Sarwar, Muhammad 1 Sawano, Yoshihiro 1 Shargorodsky, Eugene 1 Sun, Xingping 1 Tang, Yanbin 1 Umarkhadzhiev, Salaudin Musaevich 1 Varga, Csaba György 1 Vasilyev, Vladimir Borisovich 1 Wall, Peter 1 Wang, Yu 1 Wen, Haiyu 1 Xing, Yuming 1 Xu, Jingshi 1 Yang, Xuechun 1 Yang, Zhenzhen all top 5 Cited in 53 Serials 12 Journal of Mathematical Analysis and Applications 6 Fractional Calculus & Applied Analysis 4 Mathematische Nachrichten 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Journal of Mathematical Sciences (New York) 4 Complex Variables and Elliptic Equations 3 Mathematical Notes 3 Proceedings of the American Mathematical Society 3 Integral Transforms and Special Functions 3 Journal of Function Spaces and Applications 2 Glasgow Mathematical Journal 2 Manuscripta Mathematica 2 Results in Mathematics 2 Ricerche di Matematica 2 Russian Mathematics 2 The Journal of Fourier Analysis and Applications 2 Journal of Inequalities and Applications 2 Mediterranean Journal of Mathematics 1 Applicable Analysis 1 Bulletin of the Australian Mathematical Society 1 Computers & Mathematics with Applications 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Physics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Canadian Mathematical Bulletin 1 Collectanea Mathematica 1 Czechoslovak Mathematical Journal 1 Integral Equations and Operator Theory 1 Journal of Differential Equations 1 Transactions of the American Mathematical Society 1 Zeitschrift für Analysis und ihre Anwendungen 1 Acta Mathematica Hungarica 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Potential Analysis 1 Georgian Mathematical Journal 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Nonlinear Dynamics 1 Abstract and Applied Analysis 1 Positivity 1 Taiwanese Journal of Mathematics 1 Revista Matemática Complutense 1 Lobachevskii Journal of Mathematics 1 Differential Equations 1 Analysis and Applications (Singapore) 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Boundary Value Problems 1 Communications in Mathematical Analysis 1 Banach Journal of Mathematical Analysis 1 Advances in Pure and Applied Mathematics 1 Analysis and Mathematical Physics 1 Axioms 1 Matematicheskie Zametki SVFU all top 5 Cited in 22 Fields 55 Functional analysis (46-XX) 34 Harmonic analysis on Euclidean spaces (42-XX) 27 Partial differential equations (35-XX) 27 Operator theory (47-XX) 14 Real functions (26-XX) 11 Potential theory (31-XX) 11 Global analysis, analysis on manifolds (58-XX) 5 Integral equations (45-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Functions of a complex variable (30-XX) 2 Abstract harmonic analysis (43-XX) 1 History and biography (01-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) Citations by Year