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Toeplitz operators on \(\mathcal M\)-harmonic Hardy space \(H_m^p(S)\) with \(0<p \leq 1\) - MaRDI portal

Toeplitz operators on \(\mathcal M\)-harmonic Hardy space \(H_m^p(S)\) with \(0<p \leq 1\) (Q2774618)

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scientific article; zbMATH DE number 1711087
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English
Toeplitz operators on \(\mathcal M\)-harmonic Hardy space \(H_m^p(S)\) with \(0<p \leq 1\)
scientific article; zbMATH DE number 1711087

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    26 February 2002
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    bounded mean oscillation
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    Toeplitz operators on \(\mathcal M\)-harmonic Hardy space \(H_m^p(S)\) with \(0<p \leq 1\) (English)
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    The paper contains several necessary and sufficient conditions on a function \(f\in L^2(S)\) to generate a bounded Toeplitz operator \(T_f\) from the atomic \(\mathcal M\)-harmonic Hardy space \(H^p_a(S)\) to the \(\mathcal M\)-harmonic Hardy space \(H^p(B)\), \(0<p\leq 1\).
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