The Monotonic Property of Ls m.-Averaging Domains and Weighted Weak Reverse H¨older Inequality

We first prove a local weighted weak reverse H¨older inequality for A-harmonic tensors. Then, we study the monotonic property of newly introduced Ls m.-averaging domains, which can be viewed as an application of the local weighted reverse H¨older inequality in Ls m.-averaging domains. By applying the local result, we also obtain some similar results in other kinds of domains