(Weak) Hardy and Poincar\'e inequalities and criticality theory

Marcel Schmidt

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arXiv · 2108.11681

(Weak) Hardy and Poincar\'e inequalities and criticality theory

Marcel Schmidt

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Abstract

In this paper we study Hardy and Poincar\'e 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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Marcel Schmidt. 2021-08-26. (Weak) Hardy and Poincar\'e inequalities and criticality theory. https://arxiv.org/abs/2108.11681

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