Meng Yang

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20242026

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4 papers · 1 filter

math.FA2026

Energy inequalities for cutoff functions of $p$ -energies on metric measure spaces

Meng Yang

For $p > 1$ , and for a $p$ -energy on a volume doubling metric measure space, we provide several geometric and functional conditions for the validity of the cutoff Sobolev inequality.…

math.FA2026

On singularity of $p$ -energy measures on metric measure spaces

Meng Yang

For $p > 1$ , we prove that, for a $p$ -energy on a volume doubling metric measure space, the PoincarÃ© inequality and the cutoff Sobolev inequality, both with $p$ -walk dimension stric…

math.FA2026

Meng Yang

For $p > 1$ , we introduce the cutoff Sobolev inequality on general metric measure spaces, and prove that there exists a metric measure space endowed with a $p$ -energy that satisfies…

math.FA2025

On the dichotomy of $p$ -walk dimensions on metric measure spaces

Meng Yang

On a volume doubling metric measure space endowed with a family of $p$ -energies such that the PoincarÃ© inequality and the cutoff Sobolev inequality with $p$ -walk dimension $I^_{p}^{2}$ …

Energy inequalities for cutoff functions of p-energies on metric measure spaces

On singularity of p-energy measures on metric measure spaces

p-PoincarÃ© inequalities and cutoff Sobolev inequalities on metric measure spaces

On the dichotomy of p-walk dimensions on metric measure spaces

Energy inequalities for cutoff functions of $p$ -energies on metric measure spaces

On singularity of $p$ -energy measures on metric measure spaces

$p$ -PoincarÃ© inequalities and cutoff Sobolev inequalities on metric measure spaces

On the dichotomy of $p$ -walk dimensions on metric measure spaces