This work we study the proof of Preiss'Theorem,which states that alo cally finite Borel measure on Rn with positive and finite density for almost every pointin the support of μ is rectifiable. During all this work we consider only Borel measures, then we will omit it in the statements
AbstractLet μ be a finite non-negative Borel measure on the complex plane C. We shall prove the foll...
AbstractLet μ be a finite non-negative Borel measure on the complex plane C. We shall prove the foll...
summary:The $\sigma $-finiteness of a variational measure, generated by a real valued function, is p...
In this thesis we investigate how knowledge of the local behaviour of a Borel measure on Rn enables ...
Abstract. We identify two sufficient conditions for locally finite Borel measures on Rn to give full...
In the first part of the thesis the centred Hausdorff measures are studied. These measures are an of...
We show that a measure in a Euclidean space is linearly rectifiable if and only if the lower 1-densi...
AbstractS. Saks and recently R.D. Mauldin asked if every translation invariant σ-finite Borel measur...
AbstractIn the following we present the most important properties of positive measures on Borel sets
Let H={( x,y):x>0)⊆R2 and let E be a Borel subset of H of positive Lebesgue measure We prove that...
Abstract. We repurpose tools from the theory of quantitative rectifiability to study the qualitative...
We present arguments showing that the standard notion of the support of a probabilistic Borel measur...
If E C C is a set with finite length and finite curvature, then E is rectifiable. This fact, proved ...
As a first step to generalising Rectifiability and Density Results, Radon measures with density prop...
summary:The $\sigma $-finiteness of a variational measure, generated by a real valued function, is p...
AbstractLet μ be a finite non-negative Borel measure on the complex plane C. We shall prove the foll...
AbstractLet μ be a finite non-negative Borel measure on the complex plane C. We shall prove the foll...
summary:The $\sigma $-finiteness of a variational measure, generated by a real valued function, is p...
In this thesis we investigate how knowledge of the local behaviour of a Borel measure on Rn enables ...
Abstract. We identify two sufficient conditions for locally finite Borel measures on Rn to give full...
In the first part of the thesis the centred Hausdorff measures are studied. These measures are an of...
We show that a measure in a Euclidean space is linearly rectifiable if and only if the lower 1-densi...
AbstractS. Saks and recently R.D. Mauldin asked if every translation invariant σ-finite Borel measur...
AbstractIn the following we present the most important properties of positive measures on Borel sets
Let H={( x,y):x>0)⊆R2 and let E be a Borel subset of H of positive Lebesgue measure We prove that...
Abstract. We repurpose tools from the theory of quantitative rectifiability to study the qualitative...
We present arguments showing that the standard notion of the support of a probabilistic Borel measur...
If E C C is a set with finite length and finite curvature, then E is rectifiable. This fact, proved ...
As a first step to generalising Rectifiability and Density Results, Radon measures with density prop...
summary:The $\sigma $-finiteness of a variational measure, generated by a real valued function, is p...
AbstractLet μ be a finite non-negative Borel measure on the complex plane C. We shall prove the foll...
AbstractLet μ be a finite non-negative Borel measure on the complex plane C. We shall prove the foll...
summary:The $\sigma $-finiteness of a variational measure, generated by a real valued function, is p...