An example on the maximal function associated to a nondoubling measure
Abstract
We show that there is a measure μ, defined on the hyperbolic plane and with polynomial growth, such that the centered maximal operator associated to μ does not satisfy weak type (1,1) bounds.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.