Area formular in metric measure spaces under a weak-like Lipschitz condition

PABLO OCHOA; MARCELA GARRIGA

RESULTS IN MATHEMATICS

BIRKHAUSER VERLAG AG

Lugar: BASEL; Año: 2023 vol. 78

1422-6383

In this paper, we use a recent Lipschitz-type condition, called L condition, to state different area formulas in the context of metric measure spaces. We first provide area formulas for mappings between general metric mea- sure spaces and appropriate Euclidean space. That includes area formulas for the graph mapping of a function between a metric measure space and the Euclidean space Rn, and for metric-valued mappings with domain Rn. Finally, and under the assumption of n-rectifiable domains, we pro- vide a general area formula for functions between metric measure spaces.