Výsledky vyhledávání - "Shriwastawa, Anjali"

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Bilinear Hardy inequalities on metric measure spaces

Autor: Ruzhansky, Michael, Shriwastawa, Anjali, Verma, Daulti

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 to hold on general metric measure spaces having polar decompositions. W

Externí odkaz: http://arxiv.org/abs/2404.08604

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Sharp upper bound for anisotropic R\'enyi entropy and Heisenberg uncertainty principle

Autor: Chatzakou, Marianna, Ruzhansky, Michael, Shriwastawa, Anjali

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 optimal Shannon inequality in the same setting. Using a logarithmic S

Externí odkaz: http://arxiv.org/abs/2402.10003

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

Autor: Ruzhansky, Michael, Shriwastawa, Anjali, Tiwari, Bankteshwar

In this paper, we first prove the weighted Levin-Cochran-Lee type inequalities on homogeneous Lie groups for arbitrary weights, quasi-norms, and $L^p$-and $L^q$-norms. Then, we derive a sharp weighted inequality involving specific weights given in th

Externí odkaz: http://arxiv.org/abs/2306.04379

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Hardy inequalities on metric measure spaces, IV: The case $p=1$

Autor: Ruzhansky, Michael, Shriwastawa, Anjali, Tiwari, Bankteshwar

In this paper, we investigate the two-weight Hardy inequalities on metric measure space possessing polar decompositions for the case $p=1$ and $1 \leq q <\infty.$ This result complements the Hardy inequalities obtained in \cite{RV} in the case $1< p\

Externí odkaz: http://arxiv.org/abs/2212.07236

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

Autor: Ruzhansky, Michael, Shriwastawa, Anjali, Tiwari, Bankteshwar

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 $1

Externí odkaz: http://arxiv.org/abs/2202.05873

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On equivalence of two non-Riemannian curvatures in warped product Finsler metrics

Autor: Gangopadhyay, Ranadip, Shriwastawa, Anjali, Tiwari, Bankteshwar

In this paper we study warped product Finsler metrics and show that the notion of isotropic $E$-curvature and isotropic $S$-curvature are equivalent for this class of metrics.

Externí odkaz: http://arxiv.org/abs/2011.12045

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