Atomic decomposition from grand maximal functions

  • Akihito Uchiyama
Part of the Springer Monographs in Mathematics book series (SMM)


In this section we prove the following: Theorem 4.1.
$$ \begin{array}{l} {\rm{Let }}p{\rm{ }} \in \left( {0,1} \right],{\rm{ }}a > 0,and{\rm{ }}f{\rm{ }} \in {\rm{ }}D'.{\rm{ }}Then \\ {\rm{ }}\left\| f \right\|_{H^p } \le C\left( {p,a,n} \right)\left\| {G_a f} \right\|_{L^p } . \\ \end{array} $$


Euclidean Space Number Theory Algebraic Geometry Hardy Space Lower Semicontinuous 
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© Springer Japan 2001

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  • Akihito Uchiyama

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