Two-Dimensional Bilinear Inequality for Rectangular Hardy Operator and Non-Factorizable Weights

Richik Sengupta; Elena Ushakova

doi:10.32523/2077-9879-2023-14-4-47-62

Two-Dimensional Bilinear Inequality for Rectangular Hardy Operator and Non-Factorizable Weights

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Authors

Richik Sengupta
Elena Ushakova

DOI:

https://doi.org/10.32523/2077-9879-2023-14-4-47-62

Keywords:

rectangular Hardy operator, bilinear inequality, weighted Lebesgue norm

Abstract

The paper provides necessary and sufficient conditions for two-dimensional bilinear norm inequalities with rectangular Hardy operators in weighted Lebesgue spaces. The results apply to non-factorizable weights.

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Published

2023-12-30

How to Cite

Sengupta, R., & Ushakova, E. (2023). Two-Dimensional Bilinear Inequality for Rectangular Hardy Operator and Non-Factorizable Weights. Eurasian Mathematical Journal, 14(4), 47–62. https://doi.org/10.32523/2077-9879-2023-14-4-47-62