Two Remarks on Primary Spaces

Paul F. X. Mueller

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arXiv · 0911.0074

Two Remarks on Primary Spaces

Paul F. X. Mueller

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Abstract

We prove that for any operator $T$ on $ \ell^\infty(H^1 (\bT))$, the identity factores through $T$ or $\Id - T$. We re-prove analogous results of H.M. Wark for the spaces $\ell^infty(H^p(\bT))$, $1<p <\infty$. In the present paper direct combinatorics of colored dyadic intervals replaces the dependence on Szemeredi's theorem in the work of H. M. Wark.

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Paul F. X. Mueller. 2009-10-31. Two Remarks on Primary Spaces. https://arxiv.org/abs/0911.0074

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