Pointwise Variable Anisotropic Function Spaces on Rn

Download or read book Pointwise Variable Anisotropic Function Spaces on Rn written by Shai Dekel and published by Walter de Gruyter GmbH & Co KG. This book was released on 2022-04-04 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Rn that replace the Euclidean balls and support a generalization of the theory with fewer limitations.