We prove that the elliptic maximal function maps the Sobolev space into for all . The main ingredients of the proof are an analysis of the intersection properties of elliptic annuli and a combinatorial method of Kolasa and Wolff.
Cite this article
M. Burak Erdoğan, Mapping properties of the elliptic maximal function. Rev. Mat. Iberoam. 19 (2003), no. 1, pp. 221–234DOI 10.4171/RMI/344