A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2016; you can also visit the original URL.
The file type is
The theory of (Muckenhoupt) weights arises in many areas of analysis, for example in connection with bounds for singular integrals and maximal functions on weighted spaces. We prove that a certain averaging process gives a method for constructing A p weights from a measurably varying family of dyadic A p weights. This averaging process is suggested by the relationship between the A p weight class and the space of functions of bounded mean oscillation. The same averaging process also constructsdoi:10.4171/rmi/659 fatcat:2ohtv7drorb7pddruwgwoyrbzu