Hardy and Lipschitz Spaces on Unit Spheres

Author

Leonardo Colzani, Washington University in St. Louis

Date of Award

8-1982

Author's School

Graduate School of Arts and Sciences

Author's Department

Mathematics

Degree Name

Doctor of Philosophy (PhD)

Degree Type

Dissertation

Abstract

The main objective of this work is to develop a theory of Hardy spaces on the surface (SIGMA)(,N) of the unit ball B(,N+1) in (//R)('N+1), analogous to the maximal and atomic theory of Hardy spaces on (//R)('N), and to characterize the duals of these spaces as spaces of Lipschitz functions.

Language

English (en)

Chair and Committee

Mitchell H. Taibleson, Guido Wess

Committee Members

Brian Blank, Michael Hemler, Jean-lin Journe, Gregory Morrow, Teddy Seidenfeld

Recommended Citation

Colzani, Leonardo, "Hardy and Lipschitz Spaces on Unit Spheres" (1982). Arts & Sciences Electronic Theses and Dissertations. 2264.
https://openscholarship.wustl.edu/art_sci_etds/2264