Open AccessMapping properties of the elliptic maximal function
Author(s) -
M. Burak Erdoğan
Publication year - 2003
Publication title -
revista matemática iberoamericana
Language(s) - English
Resource type - Journals
eISSN - 2235-0616
pISSN - 0213-2230
DOI - 10.4171/rmi/344
Subject(s) - function (biology) , mathematics , mathematical analysis , biology , evolutionary biology
We prove that the elliptic maximal function maps the Sobolev space W4,eta(R2) into L4(R2) for all eta > 1/6. The main ingredients of the proof are an analysis of the intersectiQn properties of elliptic annuli and a combinatorial method of Kolasa and Wolff.
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