Regular measures of noncompactness and Ascoli–Arzelà type compactness criteria in spaces of vector-valued functions
Regular measures of noncompactness and Ascoli–Arzelà type compactness criteria in spaces of vector-valued functions
Abstract In this paper we estimate the Kuratowski and the Hausdorff measures of noncompactness of bounded subsets of spaces of vector-valued bounded functions and of vector-valued bounded differentiable functions. To this end, we use a quantitative characteristic modeled on a new equicontinuity-type concept and classical quantitative characteristics related to pointwise …