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.

Committee Chair

Mitchell H. Taibleson, Guido Wess

Committee Members

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

Degree

Doctor of Philosophy (PhD)

Author's Department

Mathematics

Author's School

Graduate School of Arts and Sciences

Document Type

Dissertation

Date of Award

8-1982

Language

English (en)

Included in

Mathematics Commons

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