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.
Fefferman
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Mathematics Department, University of Chicago, Chicago, Illinois 60637.
Gundy
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Silverstein
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Stein
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