We study p-weak gradients on RCD(K,∞) metric measure spaces and prove that they all coincide for p>1. On proper spaces, our arguments also cover the extremal situation of BV functions
The aim of this thesis is to present new results in the analysis of metric measure spaces. We first ...
This book provides an introduction to some aspects of the flourishing field of nonsmooth geometric a...
In this paper we introduce a synthetic notion of Riemannian Ricci bounds from below for metric measu...
We study p-weak gradients on RCD(K,∞) metric measure spaces and prove that they all coincide for p>1...
Abstract: We study p-weak gradients on RCD(K,∞) metric measure spaces and prove that they all coinci...
We compare several notions of weak (modulus of) gradients in metric measure spaces and prove their e...
We prove that on an arbitrary metric measure space the following property holds: a single test plan ...
We prove that any weakly non-collapsed RCD space is actually non-collapsed, up to a renormalization ...
Given α > 0, we construct a weighted Lebesgue measure on Rnfor which the family of nonconstant cu...
We prove higher summability and regularity of Gamma(f) for functions f in spaces satisfying the Bakr...
A curve γ in a complete doubling metric space X = (X, d, µ) is a continuous mapping from a compact i...
We give a direct proof of the strong maximum principle on finite dimensional RCD spaces based on the...
It is well known that on arbitrary metric measure spaces, the notion of minimal $p$-weak upper gradi...
IIn this paper we make a survey of some recent developments of the theory of Sobolev spaces W-1,W-q ...
In this paper we make a survey of some recent developments of the theory of Sobolev spaces W1,q(X, ...
The aim of this thesis is to present new results in the analysis of metric measure spaces. We first ...
This book provides an introduction to some aspects of the flourishing field of nonsmooth geometric a...
In this paper we introduce a synthetic notion of Riemannian Ricci bounds from below for metric measu...
We study p-weak gradients on RCD(K,∞) metric measure spaces and prove that they all coincide for p>1...
Abstract: We study p-weak gradients on RCD(K,∞) metric measure spaces and prove that they all coinci...
We compare several notions of weak (modulus of) gradients in metric measure spaces and prove their e...
We prove that on an arbitrary metric measure space the following property holds: a single test plan ...
We prove that any weakly non-collapsed RCD space is actually non-collapsed, up to a renormalization ...
Given α > 0, we construct a weighted Lebesgue measure on Rnfor which the family of nonconstant cu...
We prove higher summability and regularity of Gamma(f) for functions f in spaces satisfying the Bakr...
A curve γ in a complete doubling metric space X = (X, d, µ) is a continuous mapping from a compact i...
We give a direct proof of the strong maximum principle on finite dimensional RCD spaces based on the...
It is well known that on arbitrary metric measure spaces, the notion of minimal $p$-weak upper gradi...
IIn this paper we make a survey of some recent developments of the theory of Sobolev spaces W-1,W-q ...
In this paper we make a survey of some recent developments of the theory of Sobolev spaces W1,q(X, ...
The aim of this thesis is to present new results in the analysis of metric measure spaces. We first ...
This book provides an introduction to some aspects of the flourishing field of nonsmooth geometric a...
In this paper we introduce a synthetic notion of Riemannian Ricci bounds from below for metric measu...
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