Inequalities for ratios of functionals of harmonic functions.
We show that the ratios (A(u)/N(u))(k)A(u) and (N(u)/A(u))(k)N(u) have L(p) norms equivalent with the H(p) norm of u. Here A(u) is the Lusin area integral and N(u) is the nontangential maximal function.
Mathematics Department, University of Chicago, Chicago, Illinois 60637.
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Fefferman
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Gundy
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Silverstein
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Stein