We study Lebesgue points for Sobolev functions over other collections of sets than balls. Our main result gives several conditions for a differentiation basis, which characterize the existence of Lebesgue points outside a set of capacity zero
In this paper we are concerned with the pointwise behaviour of functions in certain classes of weakl...
We show that capacity can be computed with locally Lipschitz functions in locally complete and separ...
For a metric space X, we study the space D∞(X) of bounded functions on X whose infinitesimal Lipschi...
summary:In many recent articles, medians have been used as a replacement of integral averages when t...
summary:In many recent articles, medians have been used as a replacement of integral averages when t...
Our main objective is to study the pointwise behaviour of Sobolev functions on a metric measure spac...
AbstractThe well-known Sobolev embedding theorem is generalized in terms of geometric measure theory...
Abstract. The purpose of this work is to study regularity of So-bolev functions on metric measure sp...
Abstract. The purpose of this work is to study regularity of So-bolev functions on metric measure sp...
Abstract. The purpose of this work is to study regularity of So-bolev functions on metric measure sp...
In many recent articles, medians have been used as a replacement of integral averages when the funct...
AbstractWe characterize the restrictions of first-order Sobolev functions to regular subsets of a ho...
summary:In many recent articles, medians have been used as a replacement of integral averages when t...
In complete metric measure spaces equipped with a doubling measure and supporting a weak Poincar\'e ...
We discuss the potential theory related to variational capacity and the Sobolev capacity on metric m...
In this paper we are concerned with the pointwise behaviour of functions in certain classes of weakl...
We show that capacity can be computed with locally Lipschitz functions in locally complete and separ...
For a metric space X, we study the space D∞(X) of bounded functions on X whose infinitesimal Lipschi...
summary:In many recent articles, medians have been used as a replacement of integral averages when t...
summary:In many recent articles, medians have been used as a replacement of integral averages when t...
Our main objective is to study the pointwise behaviour of Sobolev functions on a metric measure spac...
AbstractThe well-known Sobolev embedding theorem is generalized in terms of geometric measure theory...
Abstract. The purpose of this work is to study regularity of So-bolev functions on metric measure sp...
Abstract. The purpose of this work is to study regularity of So-bolev functions on metric measure sp...
Abstract. The purpose of this work is to study regularity of So-bolev functions on metric measure sp...
In many recent articles, medians have been used as a replacement of integral averages when the funct...
AbstractWe characterize the restrictions of first-order Sobolev functions to regular subsets of a ho...
summary:In many recent articles, medians have been used as a replacement of integral averages when t...
In complete metric measure spaces equipped with a doubling measure and supporting a weak Poincar\'e ...
We discuss the potential theory related to variational capacity and the Sobolev capacity on metric m...
In this paper we are concerned with the pointwise behaviour of functions in certain classes of weakl...
We show that capacity can be computed with locally Lipschitz functions in locally complete and separ...
For a metric space X, we study the space D∞(X) of bounded functions on X whose infinitesimal Lipschi...
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