Privalov, I. Boundary Properties of Analytic Functions (Granichnye svoystva analiticheskikh funktsiy). 1950. In Russian.

Привалов, Иван Иванович. Граничные свойства аналитических функций / под редакцией А. И. Маркушевича ; редактор Г. А. Фридман.
Москва-Ленинград : Государственное издательство технико-теоретической литературы, 1950. 336 страниц, с портретом автора на фронтисписе ; 20 см. Тираж 5000 экз.
Твердый издательский переплет.
Переплет хороший: легкая потертость по краям и корешку. Блок очень хороший: бумага в основном чистая, у страниц с указателем и опечатками легкое пятно.
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Privalov, Ivan Ivanovich. Boundary Properties of Analytic Functions / edited by A. I. Markushevich ; editor G. A. Fridman.
Moscow-Leningrad : State Publishing House of Technical and Theoretical Literature, 1950. 336 pp., with a frontispiece portrait of the author ; 20 cm. Print run of 5,000 copies.
Hardcover.
Binding good: light wear at edges and spine. Text block very good: mostly clean, light staining to the index and errata pages.

The definitive Soviet monograph on the boundary behaviour of analytic functions, in its significantly expanded second edition, prepared under the editorship of Alexey Markushevich after the death of the author. Ivan Ivanovich Privalov (1891-1941) was among the foremost Soviet specialists in the theory of functions of a complex variable, a professor at Moscow University and a corresponding member of the USSR Academy of Sciences, whose earlier work on subharmonic functions and boundary uniqueness theorems laid much of the groundwork for the Moscow school of function theory. This monograph, first issued in 1941 and here thoroughly revised and enlarged, treats the classical questions of how analytic and harmonic functions behave as they approach the boundary of their domain of definition: the Poisson-Stieltjes and Poisson-Lebesgue integral representations, Fatou's theorem, the boundary properties of bounded and Blaschke-class functions, and uniqueness theorems for functions of these classes, drawing on Lebesgue measure and integration theory as developed in the book's introductory sections. It remains, seventy-five years after its posthumous second edition, a standard reference cited in the contemporary literature on Hardy spaces and approximation theory, and is a foundational text for historians of the Soviet school of complex analysis and specialists building research libraries in classical function theory.