Mapping properties of the elliptic maximal function.

DOI10.4171/RMI/344zbMath1037.42024MaRDI QIDQ1413724

Mehmet Burak Erdogan

Publication date: 17 November 2003

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/39692

zbMATH Keywords

Sobolev spacemaximal functionscircular maximal functions

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (1)

Multi-parameter maximal operators associated with finite measures and arbitrary sets of parameters

Cites Work

• Unnamed Item
• Averages in the plane over convex curves and maximal operators
• Wave front sets, local smoothing and Bourgain's circular maximal theorem
• A geometric inequality with applications to the Kakeya problem in three dimensions
• On some variants of the Kakeya problem
• A geometric proof of the circular maximal theorem
• Packing Circles in the Plane
• The Kakeya Maximal Function and the Spherical Summation Multipliers
• On a Problem Related to Sphere and Circle Packing
• A generalization of Bourgain’s circular maximal theorem

This page was built for publication: Mapping properties of the elliptic maximal function.