In the setting of doubling metric measure spaces with a 1-Poincaré inequality, we show that sets of Orlicz Φ-capacity zero have generalized Hausdorff h -measure zero provided thatPeer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/46282/1/209_2005_Article_792.pd
Given a compact pseudo-metric space, we associate to it upper and lower dimensions, depending only o...
summary:We are concerned with the boundedness of generalized fractional integral operators $I_{\rho ...
AbstractWe investigate how the integrability of the derivatives of Orlicz–Sobolev mappings defined o...
The purpose of this paper is to develop the understanding of modulus and the Poincaré inequality, as...
Abstract. This paper studies the relative Sobolev p-capacity in proper and un-bounded doubling metri...
We prove a self-improvement property of a capacity density condition for a nonlocal Hajlasz gradient...
In this paper basic properties of both Sobolev and relative capacities are studied in generalized Or...
We point out some of the differences between the consequences of p-Poincaré inequality and that of ...
In this paper, we study the natural capacity γα related to the Riesz kernels x/∣x∣1 + α in ℝn, where...
We give conditions on Gromov-Hausdorff convergent inverse systems of metric measure graphs which imp...
We define Orlicz-Sobolev spaces on an arbitrary metric space with a Borel reg-ular outer measure, an...
We define Orlicz-Sobolev spaces on an arbitrary metric space with a Borel reg-ular outer measure, an...
We define Orlicz-Sobolev spaces on an arbitrary metric space with a Borel reg-ular outer measure, an...
We consider a compact metric space (X, d) such that X is a β-set (β>0). In this space, we define α-R...
This paper studies Besov ρ-capacities as well as their relationship to Hausdorff measures in Ahlfors...
Given a compact pseudo-metric space, we associate to it upper and lower dimensions, depending only o...
summary:We are concerned with the boundedness of generalized fractional integral operators $I_{\rho ...
AbstractWe investigate how the integrability of the derivatives of Orlicz–Sobolev mappings defined o...
The purpose of this paper is to develop the understanding of modulus and the Poincaré inequality, as...
Abstract. This paper studies the relative Sobolev p-capacity in proper and un-bounded doubling metri...
We prove a self-improvement property of a capacity density condition for a nonlocal Hajlasz gradient...
In this paper basic properties of both Sobolev and relative capacities are studied in generalized Or...
We point out some of the differences between the consequences of p-Poincaré inequality and that of ...
In this paper, we study the natural capacity γα related to the Riesz kernels x/∣x∣1 + α in ℝn, where...
We give conditions on Gromov-Hausdorff convergent inverse systems of metric measure graphs which imp...
We define Orlicz-Sobolev spaces on an arbitrary metric space with a Borel reg-ular outer measure, an...
We define Orlicz-Sobolev spaces on an arbitrary metric space with a Borel reg-ular outer measure, an...
We define Orlicz-Sobolev spaces on an arbitrary metric space with a Borel reg-ular outer measure, an...
We consider a compact metric space (X, d) such that X is a β-set (β>0). In this space, we define α-R...
This paper studies Besov ρ-capacities as well as their relationship to Hausdorff measures in Ahlfors...
Given a compact pseudo-metric space, we associate to it upper and lower dimensions, depending only o...
summary:We are concerned with the boundedness of generalized fractional integral operators $I_{\rho ...
AbstractWe investigate how the integrability of the derivatives of Orlicz–Sobolev mappings defined o...