Abstract. Frölicher groups, where the notion of smooth map makes sense, are introduced. On Frölicher groups we can formulate the concept of Lip-schitz metrics. The resulting setting of Frölicher-Lie groups can be com-pared to generalized Lie groups in the sense of Hideki Omori. Furthermore Lipschitz-metrics on Frölicher groups allow to prove convergence of approx-imation schemes for differential equations on Lie groups. We prove several inheritance properties for Lipschitz metrics. 1
AbstractIt is known that a function on Rn which can be well approximated by polynomials, in the mean...
In this thesis we study intrinsic Lipschitz functions. In particular we provide a regular approximat...
AbstractLet G be a metric locally compact Abelian group. We prove that the spaces (L1, Lip(α, p)), (...
Abstract. Regularity of infinite dimensional Lie groups was defined by Hideki Omori et al. and John ...
We characterize locally Lipschitz mappings and existence of Lipschitz extensions through a first ord...
We characterize intrinsic Lipschitz functions as maps which can be approximated by a sequence of smo...
We characterize intrinsic Lipschitz functions as maps which can be approximated by a sequence of smo...
We characterize intrinsic Lipschitz functions as maps which can be approximated by a sequence of smo...
We characterize intrinsic Lipschitz functions as maps which can be approximated by a sequence of smo...
The main result of the present article is a Rademacher-type theorem for intrinsic Lipschitz graphs o...
We establish a coarea formula for real-valued Lipschitz maps on stratified groups when the domain is...
We study a new bi-Lipschitz invariant #(M) of a metric space M; its finiteness means that Lipschitz ...
The main result of the present article is a Rademacher-type theorem for intrinsic Lipschitz graphs o...
1.1. A map f of a metric space (X, d) into a metric space (Y, d') is called Lip-schitz if there...
Lim and Xu [4] established a fixed point theorem for uniformly Lipschitzian mappings in metric space...
AbstractIt is known that a function on Rn which can be well approximated by polynomials, in the mean...
In this thesis we study intrinsic Lipschitz functions. In particular we provide a regular approximat...
AbstractLet G be a metric locally compact Abelian group. We prove that the spaces (L1, Lip(α, p)), (...
Abstract. Regularity of infinite dimensional Lie groups was defined by Hideki Omori et al. and John ...
We characterize locally Lipschitz mappings and existence of Lipschitz extensions through a first ord...
We characterize intrinsic Lipschitz functions as maps which can be approximated by a sequence of smo...
We characterize intrinsic Lipschitz functions as maps which can be approximated by a sequence of smo...
We characterize intrinsic Lipschitz functions as maps which can be approximated by a sequence of smo...
We characterize intrinsic Lipschitz functions as maps which can be approximated by a sequence of smo...
The main result of the present article is a Rademacher-type theorem for intrinsic Lipschitz graphs o...
We establish a coarea formula for real-valued Lipschitz maps on stratified groups when the domain is...
We study a new bi-Lipschitz invariant #(M) of a metric space M; its finiteness means that Lipschitz ...
The main result of the present article is a Rademacher-type theorem for intrinsic Lipschitz graphs o...
1.1. A map f of a metric space (X, d) into a metric space (Y, d') is called Lip-schitz if there...
Lim and Xu [4] established a fixed point theorem for uniformly Lipschitzian mappings in metric space...
AbstractIt is known that a function on Rn which can be well approximated by polynomials, in the mean...
In this thesis we study intrinsic Lipschitz functions. In particular we provide a regular approximat...
AbstractLet G be a metric locally compact Abelian group. We prove that the spaces (L1, Lip(α, p)), (...