The purpose of this paper is to develop the understanding of modulus and the Poincaré inequality, as defined on metric measure spaces. Various definitions for modulus and capacity are shown to coincide for general collections of metric measure spaces. C
Abstract. This paper studies the relative Sobolev p-capacity in proper and un-bounded doubling metri...
Abstract. We prove that a probability measure on an abstract metric space satisfies a non trivial di...
Abstract. We study the existence of a set with minimal perime-ter that separates two disjoint sets i...
The purpose of this paper is to develop the understanding of modulus and the Poincaré inequality, as...
Abstract. We show that, in a complete metric measure space equipped with a doubling Borel regular me...
This thesis investigates the question of whether a doubling metric measure space supports a Poincar\...
We point out some of the differences between the consequences of p-Poincaré inequality and that of ...
We show that, in a complete metric measure space equipped with a doubling Borel regular measure, the...
We study relations between the variational Sobolev 1-capacity and versions of variational BV-capacit...
We prove that a probability measure on an abstract metric space satisfies a non trivial dimension fr...
Abstract: The purpose of this note is to show that Moser's method applies in a metric measure s...
We show that, in a complete metric measure space equipped with a doubling Borel regular measure, the...
This dissertation studies analysis in metric spaces that are equipped with a doubling measure and sa...
ABSTRACT. We consider some measure-theoretic properties of func-tions belonging to a Sobolev-type cl...
This note investigates weaker conditions than a Poincaré inequality in analysis on metric measure sp...
Abstract. This paper studies the relative Sobolev p-capacity in proper and un-bounded doubling metri...
Abstract. We prove that a probability measure on an abstract metric space satisfies a non trivial di...
Abstract. We study the existence of a set with minimal perime-ter that separates two disjoint sets i...
The purpose of this paper is to develop the understanding of modulus and the Poincaré inequality, as...
Abstract. We show that, in a complete metric measure space equipped with a doubling Borel regular me...
This thesis investigates the question of whether a doubling metric measure space supports a Poincar\...
We point out some of the differences between the consequences of p-Poincaré inequality and that of ...
We show that, in a complete metric measure space equipped with a doubling Borel regular measure, the...
We study relations between the variational Sobolev 1-capacity and versions of variational BV-capacit...
We prove that a probability measure on an abstract metric space satisfies a non trivial dimension fr...
Abstract: The purpose of this note is to show that Moser's method applies in a metric measure s...
We show that, in a complete metric measure space equipped with a doubling Borel regular measure, the...
This dissertation studies analysis in metric spaces that are equipped with a doubling measure and sa...
ABSTRACT. We consider some measure-theoretic properties of func-tions belonging to a Sobolev-type cl...
This note investigates weaker conditions than a Poincaré inequality in analysis on metric measure sp...
Abstract. This paper studies the relative Sobolev p-capacity in proper and un-bounded doubling metri...
Abstract. We prove that a probability measure on an abstract metric space satisfies a non trivial di...
Abstract. We study the existence of a set with minimal perime-ter that separates two disjoint sets i...
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