Applications in Functional Analysis
Jonathan M. Fraser · Cambridge University Press eBooks · 2020
In this final applications chapter, we consider a range of problems in functional and harmonic analysis. In Section 16.1 we begin with a well-established connection between the Assouad and lower dimensions and Hardy inequalities. In Section 16.2 we explore a problem involving maximal operators averaged over spheres, where the Assouad dimension plays a role in determining whether certain Lp-improving estimates are satisfied.