Abstract

In this paper Lipschitz spaces of distributions are defined and various inclusion relations are shown. Certain properties such as completeness, separability, and the density of the testing space for appropriate Lipschitz spaces are proved. The Littlewood-Paley function is defined and used to prove inclusion relationships between Lipschitz and Lebesgue spaces.

Disciplines

Mathematics

Publisher statement

Publisher website: http://pjm.math.berkeley.edu/pjm/about/journal/cover.html

Included in

Mathematics Commons

Share

COinS
 

URL: http://digitalcommons.calpoly.edu/math_fac/3