- Sep 10, 2012
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

http://www.math.ku.edu/~stefanov/

tel: (785) 864 3009

fax: (785) 864-5255--- On

**Tue, 8/28/12, hedanqing35@...**wrote:*<hedanqing35@...>*

From: hedanqing35@... <hedanqing35@...>

Subject: [harmonic] The dense subspace of H^p

To: harmonicanalysis@yahoogroups.com

Date: Tuesday, August 28, 2012, 10:05 PMHi 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.

Thank you!

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