On the hardy space H1 on products of half-spaces
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1989-01-01
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We show that the Hardy space Hanal1(R+2 × R+2) can be identified with the class of functions f such that f and all its double and partial Hubert transforms Hkf belong to L1(R2). A basic tool used in the proof is the bisubharmonicity of |F|q, where F is a vector field that satisfies a generalized conjugate system of Cauchy-Riemann type. © 1989 by Pacific Journal of Mathematics.
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Pacific Journal of Mathematics, v. 138, n. 2, p. 347-356, 1989.