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math.FA2024
Bilinear Hardy inequalities on metric measure spaces
Michael Ruzhansky, Anjali Shriwastawa, Daulti Verma
In this paper, we discuss the Hardy inequality with bilinear operators on general metric measure spaces. We give the characterization of weights for the bilinear Hardy inequality t…
math.FA2024
Sharp upper bound for anisotropic Rényi entropy and Heisenberg uncertainty principle
Marianna Chatzakou, Michael Ruzhansky, Anjali Shriwastawa
In this paper, we prove the anisotropic Shannon inequality for the Renyi entropy with the best constant on Folland-Stein homogeneous Lie groups. As a consequence, we also prove the…