Clarkson-McCarthy inequality on a locally compact group

2025/02/26 by Dragoljub J. Kečkić, Kečkić, Dragoljub J., Zlatko Lazović +1
Mathematics · #43A25 #47A30 #47B10 #Advanced Harmonic Analysis Research #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.2502.19188

openalex publication_date 2025/02/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/03

Abstract

Let G be a locally compact group, μ its Haar measure, G its Pontryagin dual and ν the dual measure. For any A_θ∈ L¹(G;\mathcal C_p)∩ L²(G;\mathcal C_p), (\mathcal C_p is Schatten ideal), and 1

Related

• Continuous generalization of Clarkson-McCarthy inequalities
• Haar measure for non-Hausdorff locally compact groups
• On the small measure expansion phenomenon in connected noncompact nonabelian groups
• Haar Measures
• Measure doubling in unimodular locally compact groups and quotients