Authors establish equivalence of various p-energy norms and verify weak-monotonicity properties on nested fractals with heat kernels, generalizing BBM-type results for p ≠ 2 and enabling Gagliardo-Nirenberg inequalities on these spaces.
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Heat kernel-based p-energy norms on metric measure spaces
Authors establish equivalence of various p-energy norms and verify weak-monotonicity properties on nested fractals with heat kernels, generalizing BBM-type results for p ≠ 2 and enabling Gagliardo-Nirenberg inequalities on these spaces.