Median-Type John–Nirenberg Space in Metric Measure Spaces
Median-Type John–Nirenberg Space in Metric Measure Spaces
Abstract We study the so-called John–Nirenberg space that is a generalization of functions of bounded mean oscillation in the setting of metric measure spaces with a doubling measure. Our main results are local and global John–Nirenberg inequalities, which give weak-type estimates for the oscillation of a function. We consider medians …