Дифференцирование интегралов в R^n.

The book presents the latest research results on the differentiation of integrals in n-dimensional space - one of the most intensively developing sections of function theory today. The author closely links the theory of differentiation with the study of covering properties of various families of sets in Rn, as well as with the development of the theory of the maximal operator of Hardy and Littlewood. In recent years, a number of interesting results have been obtained in this direction, due, in particular, to the author of the book. Along with the presentation of these results, the book poses many new problems. It is valuable that the methods under consideration are applicable not only in the theory of differentiation, but are also useful in the theory of multidimensional Fourier series