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A constructive proof of the Fefferman-Stein decomposition of BMO (Rn)

A constructive proof of the Fefferman-Stein decomposition of BMO (Rn)

Let $$ S_{\vec R} \left\{ {\left( {f, - R_1 f, \cdots , - R_n f} \right):f \in H^1 \left( {{\text{R}}^n ,{\text{R}}} \right)} \right\} \subset H^1 \left( {{\text{R}}^n ,{\text{R}}^{n + 1} } \right) $$ (22.1) $$ \begin{gathered} S_{\vec R} \left\{ {\vec g = \left( {g_j } \right)_{j = 0, \cdots ,n} …