Pointwise Variable Anisotropic Function Spaces on

Spaces of homogeneous type were introduced as a generalization to the Euclidean space and serve as a suffi cient setting in which one can generalize the classical isotropic Harmonic analysis and function space theory. This setting is sometimes too general, and the theory is limited. Here, we present a set of fl exible ellipsoid covers of n that replace the Euclidean balls and support a generalization of the theory with fewer limitations.

Autorentext

Shai Dekel, School of Mathematical Sciences, Tel-Aviv University, Israel.

Zusammenfassung

Graduate students, researchers in the fields of approximation theory, harmonic analysis and function spaces.