On Bilinear Hardy–Steklov Operators

P. Jain^a, S. Kanjilal^a, Corresponding Member of the RAS V. D. Stepanov^b^,*, and E. P. Ushakova^c
Translated by I. Ruzanova

^aSouth Asian University, Delhi, India

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

^cComputing Center, Far Eastern Branch, Russian Academy of Sciences, Khabarovsk, 680000 Russia

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

Received 8 August, 2018

Abstract—Sharp estimates of the best constants in bilinear weighted inequalities with Hardy–Steklov integral operators are presented.

DOI: 10.1134/S106456241807027X