BOUNDS OF ????-ADIC WEIGHTED BILINEAR HARDY-CESÀRO OPERATORS 66ON PRODUCT OF LEBESGUE SPACES

Abstract

In this paper we aim to investigate the boundedness of ????????,????⃗ ????,2,???? on the product of ????-adic weighted Lebesgue spaces. We obtain the necessary and sufficient conditions on weight functions to ensure the boundedness of that operator on the product of ????-adic weighted Lebesgue spaces. Moreover, we obtain the corresponding operator norms.