Bilinear Weighted Inequalities with Two-Dimensional Operators

Corresponding Member of the RAS V. D. Stepanov^a^,* and G. E. Shambilova^b^,**

^aSteklov Mathematical Institute, Russian Academy of Sciences, Moscow, 119991 Russia

^bMoscow Institute of Physics and Technology (National Research University), Dolgoprudnyi, Moscow oblast, 141701 Russia

Correspondence to: *e-mail: stepanov@mi-ras.ru
Correspondence to: **e-mail: shambilova@mail.ru

Received 27 July, 2020

Abstract—A characterization of bilinear inequalities with two-dimensional rectangular Hardy operators in weighted Lebesgue spaces is given.

Keywords: weighted Lebesgue space, two-dimensional Hardy operator, bilinear inequality

DOI: 10.1134/S1064562420050415