The atomic decomposition in ๐ฟยน(๐‘…โฟ)

  • Abu-Shammala W
  • Torchinsky A
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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) .

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Abu-Shammala, W., & Torchinsky, A. (2007). The atomic decomposition in ๐ฟ1(๐‘…n). Proceedings of the American Mathematical Society, 135(9), 2839โ€“2843. https://doi.org/10.1090/s0002-9939-07-08792-8

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