Re: [harmonic] The dense subspace of H^p
The atoms are in it, so by the atomic representation of $H^p$, it follows.
Atanas Stefanov, Ph.D.
Department of Mathematics
University of Kansas
Lawrence, KS 66045-7567
tel: (785) 864 3009
fax: (785) 864-5255
--- On Tue, 8/28/12, hedanqing35@... <hedanqing35@...> wrote:
From: hedanqing35@... <hedanqing35@...>
Subject: [harmonic] The dense subspace of H^p
Date: Tuesday, August 28, 2012, 10:05 PM
Hi everyone. I know this problem may be too trivial to you but I was confused by it for a long time. We know there is a result which claims that the intersection of H^p and L^1 is a dense subspace of H^p. However I don't know how to prove it (Stein's book mentioned it but didn't give a detailed proof) or which paper I can read.