Research

Dealing with in the following scientific fields of Mathematical Analysis:

• Function spaces and integral operators on Lie groups or space of homogeneous type
• Theory of Banach-valued Function spaces
• Modern problems of harmonic analysis in local and global Morrey-type spaces
• Two-weighted inequalities for integral operators of harmonic analysis
• Theory of holomorphic and harmonic function spaces determined in many-dimensional complex domains
• Modern problems of harmonic analysis in Laplace, Laguerre, Genegbauer, Dunkl and such
• Regularity properties of elliptic and parabolic differential equations with VMO coefficients