We present an area formula for continuous mappings between metric spaces, under minimal regularity assumptions. In particular, we do not require any notion of differentiability. This is a consequence of a measure theoretic notion of Jacobian, defined as the density of a suitable "pull-back measure"
We show that in the setting of proper metric spaces one obtains a solution of the classical 2-dimens...
In this note we use elementary facts from 3-dimensional linear algebra to demonstrate the formula fo...
A flag area measure on a finite-dimensional euclidean vector space is a continuous translation invar...
We present a complete study of measure-theoretic area formulas in metric spaces, providing different...
The present thesis deals with the Federer density, which is a specific function depending on a measu...
ABSTRACT. We consider some measure-theoretic properties of func-tions belonging to a Sobolev-type cl...
We regard one side of the coarea formula as a measure and compute its density by an area-type formul...
Com motivação no campo da Teoria Geométrica da Medida, o objetivo neste trabalho é fazer um estudo d...
In the framework of geometric measure theory, we investigate compactness results and possible soluti...
Motivated by an example in Magnani (in press), we study, inside a separable metric space (X,d), the ...
AbstractWe investigate the possibility of extending classical integral–geometric results, involving ...
The concept of area of a surface, as well as the related questions concerning representation formula...
We construct the differential geometry of smooth manifolds equipped with an algebraic curvature map ...
summary:Let $f$ be a mapping in the Sobolev space $W^{1,n}(\Omega,\bold R^n)$. Then the change of va...
One of the main tools in geometric function theory is the fact that the area formula is true for Lip...
We show that in the setting of proper metric spaces one obtains a solution of the classical 2-dimens...
In this note we use elementary facts from 3-dimensional linear algebra to demonstrate the formula fo...
A flag area measure on a finite-dimensional euclidean vector space is a continuous translation invar...
We present a complete study of measure-theoretic area formulas in metric spaces, providing different...
The present thesis deals with the Federer density, which is a specific function depending on a measu...
ABSTRACT. We consider some measure-theoretic properties of func-tions belonging to a Sobolev-type cl...
We regard one side of the coarea formula as a measure and compute its density by an area-type formul...
Com motivação no campo da Teoria Geométrica da Medida, o objetivo neste trabalho é fazer um estudo d...
In the framework of geometric measure theory, we investigate compactness results and possible soluti...
Motivated by an example in Magnani (in press), we study, inside a separable metric space (X,d), the ...
AbstractWe investigate the possibility of extending classical integral–geometric results, involving ...
The concept of area of a surface, as well as the related questions concerning representation formula...
We construct the differential geometry of smooth manifolds equipped with an algebraic curvature map ...
summary:Let $f$ be a mapping in the Sobolev space $W^{1,n}(\Omega,\bold R^n)$. Then the change of va...
One of the main tools in geometric function theory is the fact that the area formula is true for Lip...
We show that in the setting of proper metric spaces one obtains a solution of the classical 2-dimens...
In this note we use elementary facts from 3-dimensional linear algebra to demonstrate the formula fo...
A flag area measure on a finite-dimensional euclidean vector space is a continuous translation invar...
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