This book can be found on the internet using the right search terms: привалов интеграл коши (= privalov integral cauchy). This quickly leads you to the book (it's not an article) at http://bookre.org/reader?file=729538 and press the button marked >| to advance a page or use the page drop-down button to go immediately to a specific page.
The table of contents is at the end (typical of Russian books), starting on p. 99 and going for one additional page than is available from the drop down page number bar (so use the >| button to see it). Press the button near the top of the page labeled Скачать to download a .djvu version of the book.
Update (2021): This answer was upvoted recently, which drew my attention to it again, and I noticed that my link above appears to be broken: it does not work in two browsers that I tried. Here is another link to the book, at archive.org: https://archive.org/details/libgen_00292731. I hope this one will be more robust over time.
Privalov was a professor at Saratov University (it says this at the top of the front cover), but I think writing "Saratov, 1919" means nothing other than that this is the city where the book was published.