Harmonic analysis, inequalities for differential operators, martingale inequalities
Main publications:
Michael Goldberg, Dmitriy Stolyarov, “Restrictions of higher derivatives of Fourier transform”, Transactions of the American Mathematical Society series B, 7 (2020), 46-96
Dmitriy M. Stolyarov, Pavel B. Zatitskiy, “Theory of locally concave functions and its applications to sharp estimates of integral functionals”, Advances in Mathematics, 291 (2016), 228–273