Did both Sergei Sobolev and Vladimir Berkovich work in the field of mathematics ?
yes
Vladimir Berkovich
Vladimir Berkovich is a mathematician at the Weizmann Institute of Science who introduced Berkovich spaces. His Ph.D. advisor was Yuri I. Manin.
 Berkovich was a visiting scholar at the Institute for Advanced Study in 1991-92 and again in the summer of 2000.
Sergei Sobolev
Sergei Lvovich Sobolev (Russian: Серге́й Льво́вич Со́болев ; 6 October 1908 – 3 January 1989) was a Soviet mathematician working in mathematical analysis and partial differential equations.
 He was born in St. Petersburg, and died in Moscow.
Vladimir Sobolev (geologist)
Sobolev, Vladimir Stepanovich (17 May 1908 in Lugansk – 1 September 1982 in Moscow) was a Russian geologist, working in mineralogy, petrology and theory of metamorphism.
 He was born in Lugansk, and died in Moscow.
 Sobolev predicted deposits of diamonds in Eastern Siberia. Vladimir Mazya
Vladimir Gilelevich Maz'ya (Russian: Владимир Гилелевич Мазья ; born December 31, 1937) (the family name is sometimes transliterated as Mazya, Maz'ja or Mazja) is a Russian-born Swedish mathematician, hailed as "one of the most distinguished analysts of our time" and as "an outstanding mathematician of worldwide reputation", who strongly influenced the development of mathematical analysis and the theory of partial differential equations.
 His early achievements include: his work on Sobolev spaces, in particular the discovery of the equivalence between Sobolev and isoperimetric/isocapacitary inequalities (1960), his counterexamples related to Hilbert's 19th and Hilbert's 20th problem (1968), his solution, together with Yuri Burago, of a problem in harmonic potential theory (1967) posed by , his extension of the Wiener regularity test to p –Laplacian and the proof of its sufficiency for the boundary regularity.
 Maz'ya solved V. Arnol'd's problem for the oblique derivative boundary value problem (1970) and F. John's problem on the oscillations of a fluid in the presence of an immersed body (1977).
 In recent years, he proved a Wiener's type criterion for higher order elliptic equations, together with M. Shubin solved a problem in the spectral theory of the Schrödinger operator formulated by Israel Gelfand in 1953, found necessary and sufficient conditions for the validity of maximum principles for elliptic and parabolic systems of PDEs and introduced the so–called approximate approximations.
 He also contributed to the development of the theory of capacities, nonlinear potential theory, the asymptotic and qualitative theory of arbitrary order elliptic equations, the theory of ill-posed problems, the theory of boundary value problems in domains with piecewise smooth boundary. Sobolev space
In mathematics, a Sobolev space is a vector space of functions equipped with a norm that is a combination of "L"-norms of the function itself and its derivatives up to a given order.
 The derivatives are understood in a suitable weak sense to make the space complete, thus a Banach space.
 Intuitively, a Sobolev space is a space of functions with sufficiently many derivatives for some application domain, such as partial differential equations, and equipped with a norm that measures both the size and regularity of a function. Setun
Setun (Russian: Сетунь ) was a computer developed in 1958 at Moscow State University.
 It was built under the leadership of Sergei Sobolev and Nikolay Brusentsov.
 It was the most modern ternary computer, using the balanced ternary numeral system and three-valued ternary logic instead of the two-valued binary logic prevalent in other computers.
 The computer was built to fulfill the needs of Moscow State University.
 It was manufactured at the Kazan Mathematical plant.
 Fifty computers were built from 1959 and production was halted in 1965.
 The characteristic operating memory consisted of 81 words of memory, each word composed of 18 trits (ternary digits) with additional 1944 words on magnetic drum (total of about 7 KB).
 Between 1965 and 1970, a regular binary computer was used at Moscow State University to replace it.
 Although this replacement binary computer performed equally well, it had 2.5 times the cost of the Setun.
 In 1970, a new ternary computer architecture, the Setun-70, was developed; it was implemented only in the form of a simulator program running on a binary computer. Ivan Vinogradov
Ivan Matveevich Vinogradov {'1': ", '2': ", '3': 'ForMemRS', '4': "} (Russian: Ива́н Матве́евич Виногра́дов ; ] ; 14 September 1891 – 20 March 1983) (not to be confused with Askold Ivanovich Vinogradov of the Bombieri-Vinogradov theorem) was a Soviet mathematician, who was one of the creators of modern analytic number theory, and also a dominant figure in mathematics in the USSR.
 He was born in the Velikiye Luki district, Pskov Oblast.
 He graduated from the University of St. Petersburg, where in 1920 he became a Professor.
 From 1934 he was a Director of the Steklov Institute of Mathematics, a position he held for the rest of his life, except for the five-year period (1941–1946) when the institute was directed by Academician Sergei Sobolev.
 In 1941 he was awarded the Stalin Prize.
 In 1951 he became a foreign member of the Polish Academy of Sciences and Letters in Kraków. Nikolay Brusentsov
Nikolay Petrovich Brusentsov (Russian: Никола́й Петро́вич Брусенцо́в ; 7 February 1925 in Kamenskoe, Ukrainian SSR – 4 December 2014) was a Russian computer scientist, most famous for having built a (balanced) ternary computer, Setun, together with Sergei Sobolev in 1958. Sobolev inequality
In mathematics, there is in mathematical analysis a class of Sobolev inequalities, relating norms including those of Sobolev spaces.
 These are used to prove the Sobolev embedding theorem, giving inclusions between certain Sobolev spaces, and the Rellich–Kondrachov theorem showing that under slightly stronger conditions some Sobolev spaces are compactly embedded in others.
 They are named after Sergei Lvovich Sobolev. Evgenii Georgievich D'yakonov
D'yakonov was a Ph.D. student of Sergei Sobolev.
 He worked at the Moscow State University.
 He authored over hundred papers and several books.
 D'yakonov was recognized for his pioneering work in the 60s–80s on efficient spectrally equivalent preconditioning for linear systems and eigenvalue problems.
 In the last decade, strengthened Sobolev spaces became D'yakonov's main topic of research, e.g., (D'yakonov, 2004).