Dimension dependence of factorization problems: Hardy spaces and $SL_n^\infty
Given $1 \leq p < \infty$, let $W_n$ denote the finite-dimensional dyadic Hardy space $H_n^p$, its dual or $SL_n^\infty$. We prove the following quantitative result: The identity operator on $W_n$ factors through any operator $T : W_N\to W_N$ which has large diagonal with respect to the Haar syst...
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| creator | Lechner, Richard |
| description | Given $1 \leq p < \infty$, let $W_n$ denote the finite-dimensional dyadic
Hardy space $H_n^p$, its dual or $SL_n^\infty$. We prove the following
quantitative result: The identity operator on $W_n$ factors through any
operator $T : W_N\to W_N$ which has large diagonal with respect to the Haar
system, where $N$ depends \emph{linearly} on $n$. |
| doi_str_mv | 10.48550/arxiv.1802.02857 |
| format | Article |
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Hardy space $H_n^p$, its dual or $SL_n^\infty$. We prove the following
quantitative result: The identity operator on $W_n$ factors through any
operator $T : W_N\to W_N$ which has large diagonal with respect to the Haar
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Hardy space $H_n^p$, its dual or $SL_n^\infty$. We prove the following
quantitative result: The identity operator on $W_n$ factors through any
operator $T : W_N\to W_N$ which has large diagonal with respect to the Haar
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Hardy space $H_n^p$, its dual or $SL_n^\infty$. We prove the following
quantitative result: The identity operator on $W_n$ factors through any
operator $T : W_N\to W_N$ which has large diagonal with respect to the Haar
system, where $N$ depends \emph{linearly} on $n$.</abstract><doi>10.48550/arxiv.1802.02857</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Functional Analysis |
| title | Dimension dependence of factorization problems: Hardy spaces and $SL_n^\infty |
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