The John–Nirenberg Inequality of BLO With Hausdorff Content

For δ ∈ (0, n ] and p ∈ (0, ∞), the space is described with Hausdorff content . The author establishes the John–Nirenberg inequality of with 0 < p ≤ 1. In the application under consideration, for 0 < p , q < ∞, the author demonstrates that: The previous result can be retrieved under the assumption δ = n . MSC2020 Classification : 42B35, 28A12, 42B37