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20202026
most citedHardy inequalities on metric measure spaces, IV: The case

1 citations · 1 across the 7 of their papers we have counts for

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7 papers

math.DG2026

Finite Volume Einstein Finsler Warped Product Manifolds of Non-positive or Non-negative Scalar Curvature

Mohammad Aqib, Hemangi Madhusudan Shah, Pankaj Kumar +1

The notion of warped product plays an important role in Riemannian geometry moreover in geodesic metric spaces. The warped product was first introduced by Bishop and O'Neill to stu…

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…

math.CA2023

Anisotropic weighted Levin-Cochran-Lee type inequalities on homogeneous Lie groups

Michael Ruzhansky, Anjali Shriwastawa, Bankteshwar Tiwari

In this paper, we first prove the weighted Levin-Cochran-Lee type inequalities on homogeneous Lie groups for arbitrary weights, quasi-norms, and -and -norms. Then, we der…

math.CA2022★ 1 cited

Hardy inequalities on metric measure spaces, IV: The case

Michael Ruzhansky, Anjali Shriwastawa, Bankteshwar Tiwari

In this paper, we investigate the two-weight Hardy inequalities on metric measure space possessing polar decompositions for the case and This result compl…

math.AP2022

A note on best constants for Weighted Integral Hardy inequalities on homogeneous groups

Michael Ruzhansky, Anjali Shriwastawa, Bankteshwar Tiwari

The main aim of this note is to prove sharp weighted integral Hardy inequality and conjugate integral Hardy inequality on homogeneous Lie groups with any quasi-norm for the range $…