The atomic decomposition in 𝐿¹(𝑅ⁿ)-Reference-Cited by-同舟云学术

The atomic decomposition in 𝐿¹(𝑅ⁿ)

Published:2007-05-04 Issue:9 Volume:135 Page:2839-2843
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Abu-Shammala Wael,Torchinsky Alberto

Abstract

In this paper we present an atomic decomposition of integrable functions. As an application we compute the distance of f f in L 1 ( R n ) L^{1}(R^n) to the Hardy space H 1 ( R n ) H^1(R^n) .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2007-135-09/S0002-9939-07-08792-8/S0002-9939-07-08792-8.pdf

Reference5 articles.

1. W. Abu-Shammala, and A. Torchinsky, Spaces between 𝐻¹(𝑅ⁿ) and 𝐿¹(𝑅ⁿ), preprint.

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4. Subspaces of 𝐿¹(ℝ^{𝕕});Sweezy, Caroline;Proc. Amer. Math. Soc.,2004

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