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: 34 Co-Authors with 23 Joint Publications 941 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, Anatoly Georgievich 3 Shankishvili, Lamara D. 2 Avsyankin, Oleg Gennadievich 2 Drobotov, Yuri Evgenievich 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 Erusalimskii, Yakov M. 1 Erusalimskyiĭ, I. M. 1 Gol’dman, Mikhail L’vovich 1 Karyakin, Mikhail I. 1 Kokilashvili, Vakhtang Mikhailovich 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 171 times in 91 Documents Cited by ▼ Year ▼ Weighted Sobolev theorem with variable exponent for spatial and spherical potential operators. Zbl 1079.47053Samko, S.; Vakulov, B. 39 2005 Weighted Sobolev theorem in Lebesgue spaces with variable exponent. Zbl 1142.46018Samko, N. G.; Samko, S. G.; Vakulov, B. G. 30 2007 Fractional integrals and hypersingular integrals in variable order Hölder spaces on homogeneous spaces. Zbl 1211.46024Samko, Natasha; Samko, Stefan; Vakulov, Boris 14 2010 Weighted Sobolev theorem with variable exponent for spatial and spherical potential operators. II. Zbl 1107.47016Samko, S.; Shargorodsky, E.; Vakulov, B. 13 2007 Spherical fractional and hypersingular integrals of variable order in generalized Hölder spaces with variable characteristic. Zbl 1220.46018Samko, Natasha; Vakulov, Boris 11 2011 Spherical potentials of complex order in the variable order Hölder spaces. Zbl 1077.46019Vakulov, Boris G. 9 2005 Spherical convolution operators in spaces of variable Hölder order. Zbl 1139.47027Vakulov, B. G. 7 2006 On equivalent norms in fractional order function spaces of continuous functions on the unit sphere. Zbl 1033.46500Samko, Stefan G.; Vakulov, Boris G. 5 2000 Spherical hypersingular operators of imaginary order and their multipliers. Zbl 1072.47513Vakulov, Boris G.; Karapetiants, Nikolai K.; Shankishvili, Lamara D. 5 2001 Fractional integrals and hypersingular integrals in variable order Hölder spaces on homogeneous spaces. Zbl 1281.46025Samko, N.; Samko, S.; Vakulov, B. 5 2009 Spherical convolution operators with a power-logarithmic kernel in a generalized Hölder space. Zbl 1119.47300Vakulov, B. G. 4 2006 Complex-order spherical potentials in spaces of variable generalized Hölder order. Zbl 1327.31020Vakulov, B. G. 4 2006 Spherical operators of potential type in weighted Hölder spaces of variable order. Zbl 1299.42047Vakulov, B. G. 3 2005 Spherical operators of potential type in generalized weighted Hölder spaces on a sphere. Zbl 1014.31002Vakulov, B. G. 3 1999 Spherical potentials of complex order in generalized weighted Hölder spaces. Zbl 1136.31307Vakulov, B. G.; Karapetyants, N. K.; Shankishvili, L. D. 3 2002 An operator of the potential type in a sphere in Hölder’s generalized classes. Zbl 0632.42011Vakulov, B. G. 3 1986 On generalized spherical fractional integration operators in weighted generalized Hölder spaces on the unit sphere. Zbl 1160.46018Samko, Natasha; Vakulov, Boris 2 2008 Spherical convolution operators with a power-logarithmic kernel in generalized Hölder spaces. Zbl 1076.42010Vakulov, B. G.; Karapetyants, N. K.; Shankishvili, L. D. 2 2003 Weighted Sobolev theorem in Lebesgue spaces with variable exponent: corrigendum. Zbl 1441.46030Samko, N. G.; Samko, S. G.; Vakulov, B. G. 2 2010 Variable order Riesz potential over \(\dot{\mathbb{R}}^n\) on weighted generalized variable Hölder spaces. Zbl 1375.31007Vakulov, Boris Grigorievich; Drobotov, Yuri Evgenievich 2 2017 Potential-type operators on a sphere with singularities at the poles. Zbl 1124.31300Vakulov, B. G.; Karapetyants, N. K. 1 2003 A weighted Sobolev theorem for spatial and spherical potentials in Lebesgue spaces with variable exponents. Zbl 1124.31003Vakulov, B. G.; Samko, S. G. 1 2005 Spherical potentials of complex order in weighted generalized Hölder spaces with radial oscillating weights. Zbl 1147.47025Samko, Natasha; Vakulov, Boris 1 2007 Zygmund-type estimates for fractional integration and differentiation operators of variable order. Zbl 1266.47053Vakulov, B. G.; Kochurov, E. S.; Samko, N. G. 1 2011 Fractional integrals and differentials of variable order in Hölder spaces \( H^{\omega(t,x)}\). Zbl 1218.26006Vakulov, B. G.; Kochurov, E. S. 1 2010 Variable order Riesz potential over \(\dot{\mathbb{R}}^n\) on weighted generalized variable Hölder spaces. Zbl 1375.31007Vakulov, Boris Grigorievich; Drobotov, Yuri Evgenievich 2 2017 Spherical fractional and hypersingular integrals of variable order in generalized Hölder spaces with variable characteristic. Zbl 1220.46018Samko, Natasha; Vakulov, Boris 11 2011 Zygmund-type estimates for fractional integration and differentiation operators of variable order. Zbl 1266.47053Vakulov, B. G.; Kochurov, E. S.; Samko, N. G. 1 2011 Fractional integrals and hypersingular integrals in variable order Hölder spaces on homogeneous spaces. Zbl 1211.46024Samko, Natasha; Samko, Stefan; Vakulov, Boris 14 2010 Weighted Sobolev theorem in Lebesgue spaces with variable exponent: corrigendum. Zbl 1441.46030Samko, 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 1218.26006Vakulov, B. G.; Kochurov, E. S. 1 2010 Fractional integrals and hypersingular integrals in variable order Hölder spaces on homogeneous spaces. Zbl 1281.46025Samko, N.; Samko, S.; Vakulov, B. 5 2009 On generalized spherical fractional integration operators in weighted generalized Hölder spaces on the unit sphere. Zbl 1160.46018Samko, Natasha; Vakulov, Boris 2 2008 Weighted Sobolev theorem in Lebesgue spaces with variable exponent. Zbl 1142.46018Samko, N. G.; Samko, S. G.; Vakulov, B. G. 30 2007 Weighted Sobolev theorem with variable exponent for spatial and spherical potential operators. II. Zbl 1107.47016Samko, S.; Shargorodsky, E.; Vakulov, B. 13 2007 Spherical potentials of complex order in weighted generalized Hölder spaces with radial oscillating weights. Zbl 1147.47025Samko, Natasha; Vakulov, Boris 1 2007 Spherical convolution operators in spaces of variable Hölder order. Zbl 1139.47027Vakulov, B. G. 7 2006 Spherical convolution operators with a power-logarithmic kernel in a generalized Hölder space. Zbl 1119.47300Vakulov, B. G. 4 2006 Complex-order spherical potentials in spaces of variable generalized Hölder order. Zbl 1327.31020Vakulov, B. G. 4 2006 Weighted Sobolev theorem with variable exponent for spatial and spherical potential operators. Zbl 1079.47053Samko, S.; Vakulov, B. 39 2005 Spherical potentials of complex order in the variable order Hölder spaces. Zbl 1077.46019Vakulov, Boris G. 9 2005 Spherical operators of potential type in weighted Hölder spaces of variable order. Zbl 1299.42047Vakulov, B. G. 3 2005 A weighted Sobolev theorem for spatial and spherical potentials in Lebesgue spaces with variable exponents. Zbl 1124.31003Vakulov, B. G.; Samko, S. G. 1 2005 Spherical convolution operators with a power-logarithmic kernel in generalized Hölder spaces. Zbl 1076.42010Vakulov, B. G.; Karapetyants, N. K.; Shankishvili, L. D. 2 2003 Potential-type operators on a sphere with singularities at the poles. Zbl 1124.31300Vakulov, B. G.; Karapetyants, N. K. 1 2003 Spherical potentials of complex order in generalized weighted Hölder spaces. Zbl 1136.31307Vakulov, B. G.; Karapetyants, N. K.; Shankishvili, L. D. 3 2002 Spherical hypersingular operators of imaginary order and their multipliers. Zbl 1072.47513Vakulov, Boris G.; Karapetiants, Nikolai K.; Shankishvili, Lamara D. 5 2001 On equivalent norms in fractional order function spaces of continuous functions on the unit sphere. Zbl 1033.46500Samko, Stefan G.; Vakulov, Boris G. 5 2000 Spherical operators of potential type in generalized weighted Hölder spaces on a sphere. Zbl 1014.31002Vakulov, B. G. 3 1999 An operator of the potential type in a sphere in Hölder’s generalized classes. Zbl 0632.42011Vakulov, B. G. 3 1986 all cited Publications top 5 cited Publications all top 5 Cited by 75 Authors 17 Samko, Stefan Grigor’evich 14 Mihăilescu, Mihai 14 Shimomura, Tetsu 10 Mizuta, Yoshihiro 8 Ohno, Takao 8 Rădulescu, Vicenţiu D. 7 Samko, Natasha 7 Vakulov, Boris Grigorievich 6 Kokilashvili, Vakhtang Mikhailovich 5 Meskhi, Alexander 5 Persson, Lars-Erik 5 Rafeiro, Humberto 3 Almeida, Alexandre 3 Bocea, Marian F. 3 Hästö, Peter A. 3 Karapetyants, Alekseĭ Nikolaevich 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 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 Kukushkin, Maksim Vladimirovich 1 Lee, Mikyoung 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 all top 5 Cited in 47 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 Complex Variables and Elliptic Equations 3 Mathematical Notes 3 Proceedings of the American Mathematical Society 3 Journal of Mathematical Sciences (New York) 3 Integral Transforms and Special Functions 3 Journal of Function Spaces and Applications 2 Glasgow Mathematical Journal 2 Manuscripta Mathematica 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 Integral Equations and Operator Theory 1 Journal of Differential Equations 1 Transactions of the American Mathematical Society 1 Acta Mathematica Hungarica 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 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 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 all top 5 Cited in 19 Fields 51 Functional analysis (46-XX) 31 Harmonic analysis on Euclidean spaces (42-XX) 27 Partial differential equations (35-XX) 25 Operator theory (47-XX) 11 Real functions (26-XX) 11 Global analysis, analysis on manifolds (58-XX) 10 Potential theory (31-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 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-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) Citations by Year