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Arts & Sciences Electronic Theses and Dissertations

Theses/Dissertations

1982

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Full-Text Articles in Physical Sciences and Mathematics

Hardy And Lipschitz Spaces On Unit Spheres, Leonardo Colzani Aug 1982

Hardy And Lipschitz Spaces On Unit Spheres, Leonardo Colzani

Arts & Sciences Electronic Theses and Dissertations

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.