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Hardy Spaces of Conjugate Systems of Temperatures

Published online by Cambridge University Press:  20 November 2018

Martha Guzmán-Partida  and
Salvador Pérez-Esteva
Martha Guzmán-Partida
Affiliation:
Instituto de Matemáticas Universidad Nacional Autónoma de México Ciudad Universitaria D. F., 04510 México, e-mail: martha@matem.unam.mx
Salvador Pérez-Esteva
Affiliation:
Instituto de Matemáticas Universidad Nacional Autónoma de México Unidad Cuernavaca Apartado Postal 273-3 Administración de correos #3 Cuernavaca, Morelos, 62251 México, e-mail: chava@matem.unam.mx
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Abstract

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We define Hardy spaces of conjugate systems of temperature functions on $\mathbb{R}_{+}^{n+1}$. We show that their boundary distributions are the same as the boundary distributions of the usual Hardy spaces of conjugate systems of harmonic functions.

Keywords

42B3042A5035K05
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 50 , Issue 3 , 01 June 1998 , pp. 605 - 619
Copyright
Copyright © Canadian Mathematical Society 1998

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