Inequalities for ratios of functionals of harmonic functions

AUTOR(ES)
RESUMO

We show that the ratios (A(u)/N(u))kA(u) and (N(u)/A(u))kN(u) have Lp norms equivalent with the Hp norm of u. Here A(u) is the Lusin area integral and N(u) is the nontangential maximal function.

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