(Weak) Hardy and Poincaré inequalities and criticality theory

2021/08/26 by Marcel O. Schmidt, Schmidt, Marcel · 1 citation
Mathematics · Social Sciences · #Analytic Number Theory Research #European Linguistics and Anthropology #Algebraic Geometry and Number Theory

paper · pdf · doi:10.48550/arxiv.2108.11681

Abstract

In this paper we study Hardy and Poincaré inequalities and their weak versions for quadratic forms satisfying the first Beurling-Deny criterion. We employ these inequalities to establish a criticality theory for such forms.

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