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Duals and envelopes of some Hardy-Lorentz spaces

Authors:	Marc Lengfield

Institution:	Department of Mathematics, Florida State University, Tallahassee, Florida 32306-4510

Abstract:	For we describe the dual spaces and Banach envelopes of the spaces $H^{p,q}$ for finite values of and for $H_{0}^{p,\infty }$ , the closure of the polynomials in $H^{p,\infty }$ . In addition, we determine the -Banach envelopes for the spaces $H^{p,q}$ in the cases $0<q<p<s\leq 1$ and $0<q<p\leq s\leq 1$ .

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