An atomic decomposition for parabolic 𝐻^{𝑝} spaces on product domains

Sato, Shuichi

doi:10.1090/S0002-9939-1988-0958064-7

An atomic decomposition for parabolic $H^ p$ spaces on product domains
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Proc. Amer. Math. Soc. 104 (1988), 185-192 Request permission

Abstract:

We obtain an atomic decomposition for two-parameter parabolic ${H^p}$ spaces, showing simultaneously an integral inequality between Lusin functions and nontangential maximal functions. As its consequence, we generalize Fefferman’s weak type estimates for double singular integrals.

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