On the hardy space H¹ on products of half-spaces


Autoria(s): Bertolo, Nativi Viana Pereira
Contribuinte(s)

Universidade Estadual Paulista (UNESP)

Data(s)

20/05/2014

20/05/2014

01/06/1989

Resumo

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.

Formato

347-356

Identificador

http://projecteuclid.org/euclid.pjm/1102650154

Pacific Journal of Mathematics. Berkeley: Pacific Journal Mathematics, v. 138, n. 2, p. 347-356, 1989.

0030-8730

http://hdl.handle.net/11449/33435

WOS:A1989U769800009

WOSA1989U769800009.pdf

Idioma(s)

eng

Publicador

Pacific Journal Mathematics

Relação

Pacific Journal of Mathematics

Direitos

closedAccess

Tipo

info:eu-repo/semantics/article