Artículos de revistas
On the hardy space H¹ on products of half-spaces
Fecha
1989-06-01Registro en:
Pacific Journal of Mathematics. Berkeley: Pacific Journal Mathematics, v. 138, n. 2, p. 347-356, 1989.
0030-8730
WOS:A1989U769800009
WOSA1989U769800009.pdf
Autor
Universidade Estadual Paulista (Unesp)
Institución
Resumen
We show that the Hardy space H¹ anal (R2+ x R2+) can be identified with the class of functions f such that f and all its double and partial Hubert transforms Hk f 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.